{"id":6425,"date":"2026-10-31T12:43:14","date_gmt":"2026-10-31T07:13:14","guid":{"rendered":"https:\/\/www.catmock.com\/blog\/?p=6425"},"modified":"2026-10-31T12:43:15","modified_gmt":"2026-10-31T07:13:15","slug":"cat-2026-permutation-and-combination","status":"publish","type":"post","link":"https:\/\/www.catmock.com\/blog\/cat-2026-permutation-and-combination\/","title":{"rendered":"CAT 2026 Permutation and Combination: Formulas, Tricks &amp; Practice Questions with PDF"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">If you&#8217;re preparing for CAT 2026, <strong>permutation and combination<\/strong> is one of the important Quantitative Aptitude topics to understand. A CAT 2026 permutation and combination question may look easy at first, but one small counting mistake can double your answer. You might count every arrangement twice without even realising it.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">That one slip explains why permutation and combination has a harder reputation than it deserves. The maths is simple. The trouble is knowing which rule to apply.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">If you searched for <strong>CAT 2026 permutation and combination<\/strong>, you likely want three things: the formulas that matter, faster ways to solve questions, and problems to practise with answers. This guide covers all three. You can also download a formula-and-practice PDF further down.<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p class=\"wp-block-paragraph\"><strong>Short answer:<\/strong> Use a <strong>permutation (nPr)<\/strong> when the order of the chosen items matters, and a <strong>combination (nCr)<\/strong> when it does not. In CAT, most P&amp;C questions add conditions such as \u201calways together\u201d, \u201cnever together\u201d or \u201cat least one\u201d. Solve those with the glue method, the gap method or the complement method.<\/p>\n<\/blockquote>\n\n\n\n<h2 class=\"wp-block-heading\">Where Permutation and Combination Fits in CAT 2026<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Detail<\/th><th>Information<\/th><\/tr><\/thead><tbody><tr><td>CAT 2026 exam date<\/td><td>29 November 2026 (Sunday)<\/td><\/tr><tr><td>Conducting institute<\/td><td>IIM Indore<\/td><\/tr><tr><td>QA section<\/td><td>22 questions, 40 minutes (as in recent years)<\/td><\/tr><tr><td>Question types<\/td><td>MCQ and TITA (type in the answer)<\/td><\/tr><tr><td>Marking<\/td><td>+3 for a correct answer, \u22121 for a wrong MCQ, no negative marking for TITA<\/td><\/tr><tr><td>Where P&amp;C sits<\/td><td>Modern Maths, along with Probability and Set Theory<\/td><\/tr><tr><td>Weightage<\/td><td>Low, and it changes from year to year<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Source<\/strong>: <a href=\"https:\/\/iimcat.ac.in\/\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">iimcat.ac.in<\/mark><\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Given the low weightage, why bother? Two reasons. A solid grip on counting makes Probability much easier, and it sharpens case-by-case thinking that helps in some logical reasoning sets. A P&amp;C question is also one of the few QA questions where a clean method can finish the job in under a minute.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">You do not need to study everything in this topic. The next sections cover what matters most.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Download the CAT 2026 Permutation and Combination PDF<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">The PDF puts every formula, the seven tricks and the ten practice questions with the answer key on two pages. Print it and keep it beside your notebook.<\/p>\n\n\n<div style=\"gap: 20px\" class=\"align-button-center ub-buttons orientation-button-row ub-flex-wrap wp-block-ub-button\" id=\"ub-button-b9bc2e65-ddd6-4910-956d-a25e5163aaaa\"><div class=\"ub-button-container\">\n\t\t\t<a href=\"https:\/\/www.catmock.com\/blog\/wp-content\/uploads\/2026\/10\/CAT-2026-Permutation-and-Combination-Formulas-Practice.pdf\" target=\"_blank\" rel=\"noopener noreferrer\" class=\"ub-button-block-main   ub-button-flex\" role=\"button\" style=\"--ub-button-background-color: #cf2e2e; --ub-button-color: #ffffff; --ub-button-border: none; --ub-button-hover-background-color: #cf2e2e; --ub-button-hover-color: #000000; --ub-button-hover-border: none; padding-top: 10px; padding-right: 10px; padding-bottom: 10px; padding-left: 10px; border-radius: 10px; \">\n\t\t\t\t<div class=\"ub-button-content-holder\" style=\"flex-direction: row\">\n\t\t\t\t\t<span class=\"ub-button-icon-holder\">\n\t\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" height=\"30\" width=\"30\" viewbox=\"0 0 384 512\">\n\t\t\t\t\t<path fill=\"currentColor\" d=\"M64 0C28.7 0 0 28.7 0 64V448c0 35.3 28.7 64 64 64H320c35.3 0 64-28.7 64-64V160H256c-17.7 0-32-14.3-32-32V0H64zM256 0V128H384L256 0zM112 256H272c8.8 0 16 7.2 16 16s-7.2 16-16 16H112c-8.8 0-16-7.2-16-16s7.2-16 16-16zm0 64H272c8.8 0 16 7.2 16 16s-7.2 16-16 16H112c-8.8 0-16-7.2-16-16s7.2-16 16-16zm0 64H272c8.8 0 16 7.2 16 16s-7.2 16-16 16H112c-8.8 0-16-7.2-16-16s7.2-16 16-16z\">\n\t\t\t\t<\/path><\/svg>\n\t\t\t<\/span><span class=\"ub-button-block-btn\">Download the CAT 2026 Permutation and Combination PDF<\/span>\n\t\t\t\t<\/div>\n\t\t\t<\/a>\n\t\t<\/div><\/div>\n\n\n<h2 class=\"wp-block-heading\">Permutation vs Combination: The 10-Second Test<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Ask one question before you touch a formula: <strong>if I swap two chosen items, does the outcome change?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Yes<\/strong> \u2192 the order matters \u2192 use a <strong>permutation<\/strong>.<\/li>\n\n\n\n<li><strong>No<\/strong> \u2192 the order does not matter \u2192 use a <strong>combination<\/strong>.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Take 3 people from a group of 8:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Choosing a <em>team of 3<\/em> gives \u2078C\u2083 = 56 ways. The team {A, B, C} is the same team in any order.<\/li>\n\n\n\n<li>Choosing a <em>president, vice-president and secretary<\/em> gives \u2078P\u2083 = 336 ways. Here A as president and B as VP differs from B as president and A as VP.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">The two answers differ by exactly 3! = 6. That relation, <strong>nPr = nCr \u00d7 r!<\/strong>, is a useful way to check your work.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">CAT 2026 Permutation and Combination Formulas<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Concept<\/th><th>Formula or rule<\/th><\/tr><\/thead><tbody><tr><td>Fundamental principle<\/td><td>Independent steps: multiply (m \u00d7 n). Either-or cases: add (m + n)<\/td><\/tr><tr><td>Factorial<\/td><td>n! = n \u00d7 (n\u22121) \u00d7 \u2026 \u00d7 1, and 0! = 1<\/td><\/tr><tr><td>Permutation<\/td><td>\u207fP\u1d63 = n! \/ (n\u2212r)!<\/td><\/tr><tr><td>Combination<\/td><td>\u207fC\u1d63 = n! \/ [r!(n\u2212r)!]<\/td><\/tr><tr><td>Useful identities<\/td><td>\u207fC\u1d63 = \u207fC\u208d\u2099\u208b\u1d63\u208e; \u207fC\u1d63 + \u207fC\u208d\u1d63\u208b\u2081\u208e = \u207f\u207a\u00b9C\u1d63<\/td><\/tr><tr><td>Repetition allowed<\/td><td>r places, n choices each: n\u02b3<\/td><\/tr><tr><td>Items with repeats<\/td><td>n! \/ (p! q! r!) for p, q, r identical items of each kind<\/td><\/tr><tr><td>Circular arrangement<\/td><td>(n\u22121)!<\/td><\/tr><tr><td>Necklace or garland<\/td><td>(n\u22121)!\/2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Selection, Grouping and Distribution Formulas<\/h3>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Situation<\/th><th>Formula<\/th><\/tr><\/thead><tbody><tr><td>Divide n distinct items into unequal groups of a, b, c<\/td><td>n! \/ (a! b! c!)<\/td><\/tr><tr><td>Divide n distinct items into k equal groups of size a<\/td><td>n! \/ [(a!)\u1d4f \u00b7 k!]<\/td><\/tr><tr><td>n identical items into r distinct boxes (empty boxes allowed)<\/td><td>\u207f\u207a\u02b3\u207b\u00b9C\u1d63\u208b\u2081<\/td><\/tr><tr><td>n identical items into r distinct boxes (each box gets at least one)<\/td><td>\u207f\u207b\u00b9C\u1d63\u208b\u2081<\/td><\/tr><tr><td>n distinct items into r distinct boxes, none empty<\/td><td>r\u207f \u2212 \u02b3C\u2081(r\u22121)\u207f + \u02b3C\u2082(r\u22122)\u207f \u2212 \u2026<\/td><\/tr><tr><td>Derangements (no item in its own place)<\/td><td>D\u2083 = 2, D\u2084 = 9, D\u2085 = 44<\/td><\/tr><tr><td>Diagonals of an n-sided polygon<\/td><td>n(n\u22123)\/2<\/td><\/tr><tr><td>Triangles from n points, k of them collinear<\/td><td>\u207fC\u2083 \u2212 \u1d4fC\u2083<\/td><\/tr><tr><td>Rectangles in an m \u00d7 n grid of squares<\/td><td>\u207d\u1d50\u207a\u00b9\u207eC\u2082 \u00d7 \u207d\u207f\u207a\u00b9\u207eC\u2082<\/td><\/tr><tr><td>Paths with a steps right and b steps up<\/td><td>\u207d\u1d43\u207a\u1d47\u207eC\u2090<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">For the theory behind these, the <a href=\"https:\/\/sathee.iitk.ac.in\/ncert-books\/ncert-books-theory\/class-11\/nbt-math-11\/chapter-6-permutations-and-combinations\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">NCERT Class 11 chapter on Permutations and Combinations<\/mark><\/a>, hosted by IIT Kanpur\u2019s SATHEE platform, builds the fundamentals from scratch.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">7 Tricks to Solve CAT Permutation and Combination Questions Faster<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">These tricks target the <em>counting logic<\/em>. For multiplication and calculation shortcuts,<strong> see our guide on <a href=\"https:\/\/www.catmock.com\/blog\/cat-quant-shortcuts-tricks\/\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">CAT Quant shortcuts and tricks<\/mark><\/a><\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">1. Run the order test first<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Decide between nPr and nCr before anything else. Most wrong answers start here.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">2. Use the glue method for \u201calways together\u201d<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Treat the items that must stay together as one block. Arrange the blocks, then arrange the items inside the block.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">3. Use the gap method for \u201cnever together\u201d<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Arrange the other items first. Then drop the restricted items into the gaps. With n items in a row, you get n + 1 gaps.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">4. Use the complement method for \u201cat least\u201d<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Count the total, then subtract the unwanted case. \u201cAt least one woman\u201d becomes <em>total \u2212 no women<\/em>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">5. Divide by k! for a fixed relative order<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">If k specific items must appear in one fixed order, divide the total arrangements by k!. Seven people in a row, with A somewhere before B, gives 7!\/2 = 2,520 ways.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">6. Use stars and bars for identical items<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Identical chocolates into distinct boxes is a stars-and-bars problem. If every box needs at least one, hand each box one item first. Then distribute the rest freely.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">7. Fill the most restricted place first<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In number-formation questions, start with the place that has the strictest rule. That is usually \u201cno zero in front\u201d or \u201clast digit even\u201d.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Watch the limits.<\/strong> The glue method gives the wrong count when the block\u2019s internal order is also restricted. The gap method fails if the restricted items are not all of one type. Check the condition before you commit to a trick.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Solved Examples: CAT-Level Permutation and Combination Questions<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Example 1: Number formation<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">How many 4-digit even numbers can you form from the digits 0 to 6 if no digit repeats?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong> Split by the last digit.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Last digit 0: the other three places take 6 \u00d7 5 \u00d7 4 = 120.<\/li>\n\n\n\n<li>Last digit 2, 4 or 6 (3 choices): the first digit cannot be 0 or the last digit, so it has 5 choices. The middle two places then take 5 \u00d7 4 = 20. That gives 3 \u00d7 5 \u00d7 20 = 300.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Total = 120 + 300 = <strong>420<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 2: Glue method<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In how many ways can you arrange the letters of ADMISSION so that all the vowels stay together?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong> The vowels A, I, I, O form one block. The block plus D, M, S, S, N makes 6 units, with S repeated: 6!\/2! = 360. Inside the block, the letters A, I, I, O can arrange in 4!\/2! = 12 ways.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Total = 360 \u00d7 12 = <strong>4,320<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 3: Gap method<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Five men and four women sit in a row. No two women may sit together. How many arrangements work?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong> Arrange the men first: 5! = 120. They create 6 gaps. Choose and arrange 4 women in those gaps: \u2076P\u2084 = 360.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Total = 120 \u00d7 360 = <strong>43,200<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 4: Stars and bars<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">You give 12 identical chocolates to 4 children.<br>(a) Every child must get at least one. (b) A child may get none.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong><br>(a) Give each child one chocolate, then distribute the remaining 8: \u00b9\u00b9C\u2083 = <strong>165<\/strong>.<br>(b) \u00b9\u2075C\u2083 = <strong>455<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 5: Complement method<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">A committee of 4 comes from 6 men and 5 women. It must include at least one woman. How many committees work?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong> Total committees: \u00b9\u00b9C\u2084 = 330. Committees with no woman: \u2076C\u2084 = 15.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Answer = 330 \u2212 15 = <strong>315<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 6: Circular arrangement<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">Six people sit around a round table. Two particular people, X and Y, must sit together. In how many ways can they sit? How many ways if they must not sit together?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong> Treat X and Y as one unit. Five units sit around a table in (5\u22121)! = 24 ways. X and Y swap places inside the unit: 24 \u00d7 2 = <strong>48<\/strong>.<br>All arrangements: 5! = 120. So not together: 120 \u2212 48 = <strong>72<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Example 7: Counting rectangles<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">How many rectangles, including squares, appear on an 8 \u00d7 8 chessboard?<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Solution:<\/strong> A rectangle needs 2 of the 9 horizontal lines and 2 of the 9 vertical lines. That gives \u2079C\u2082 \u00d7 \u2079C\u2082 = 36 \u00d7 36 = <strong>1,296<\/strong>. Of these, 204 are squares.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">CAT Permutation and Combination Practice Questions with Answers<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Try each question for about two minutes before you check the answer table.<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>How many 3-digit numbers can you form from the digits 0, 1, 2, 3, 4, 5, without repeating any digit, that are divisible by 5?<\/li>\n\n\n\n<li>In how many ways can you arrange the letters of the word COMMITTEE?<\/li>\n\n\n\n<li>A team of 5 comes from 6 boys and 4 girls. It must include at least 2 girls. How many teams are possible?<\/li>\n\n\n\n<li>Seven people sit around a circular table. Two particular people must not sit next to each other. In how many ways can they sit?<\/li>\n\n\n\n<li>Find the number of positive integer solutions of a + b + c + d = 15.<\/li>\n\n\n\n<li>Four boys and three girls sit in a row. All three girls must sit together. How many arrangements are possible?<\/li>\n\n\n\n<li>Twelve points lie in a plane. Five of them are collinear, and no other three are collinear. How many triangles can you form using these points as vertices?<\/li>\n\n\n\n<li>A person walks from (0, 0) to (6, 4), moving one unit right or one unit up at each step. How many paths pass through the point (3, 2)?<\/li>\n\n\n\n<li>In how many ways can you choose 3 different numbers from 1 to 20 so that their sum is even?<\/li>\n\n\n\n<li>In how many ways can you give 5 different gifts to 3 children so that every child gets at least one gift?<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Answer key<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Q<\/th><th>Answer<\/th><th>Method<\/th><\/tr><\/thead><tbody><tr><td>1<\/td><td>36<\/td><td>Last digit 0: 5 \u00d7 4 = 20. Last digit 5: 4 choices for the first digit and 4 for the middle = 16<\/td><\/tr><tr><td>2<\/td><td>45,360<\/td><td>9!\/(2! 2! 2!), since M, T and E each repeat twice<\/td><\/tr><tr><td>3<\/td><td>186<\/td><td>\u00b9\u2070C\u2085 = 252, minus 0 girls (6) and 1 girl (4 \u00d7 \u2076C\u2084 = 60)<\/td><\/tr><tr><td>4<\/td><td>480<\/td><td>Total 6! = 720. Together 5! \u00d7 2 = 240. So 720 \u2212 240<\/td><\/tr><tr><td>5<\/td><td>364<\/td><td>Each variable at least 1: \u00b9\u2074C\u2083<\/td><\/tr><tr><td>6<\/td><td>720<\/td><td>Girls\u2019 block plus 4 boys = 5 units: 5! \u00d7 3!<\/td><\/tr><tr><td>7<\/td><td>210<\/td><td>\u00b9\u00b2C\u2083 \u2212 \u2075C\u2083 = 220 \u2212 10<\/td><\/tr><tr><td>8<\/td><td>100<\/td><td>(0,0) to (3,2): \u2075C\u2082 = 10. (3,2) to (6,4): \u2075C\u2082 = 10. Product = 100<\/td><\/tr><tr><td>9<\/td><td>570<\/td><td>All even: \u00b9\u2070C\u2083 = 120. One even and two odd: 10 \u00d7 \u2071\u2070C\u2082 = 450<\/td><\/tr><tr><td>10<\/td><td>150<\/td><td>3\u2075 \u2212 3 \u00d7 2\u2075 + 3 = 243 \u2212 96 + 3<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>After these, test yourself on real exam questions in the <a href=\"https:\/\/www.catmock.com\/pyq\/cat\/2025\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">CAT previous year papers<\/mark><\/a><\/strong>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Common Mistakes in CAT Permutation and Combination<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Mistake<\/th><th>Fix<\/th><\/tr><\/thead><tbody><tr><td>Treating identical items as different<\/td><td>Divide by the factorial of each repeated item\u2019s count<\/td><\/tr><tr><td>Letting a number start with 0<\/td><td>Fill the first place first, or subtract the cases with a leading zero<\/td><\/tr><tr><td>Using nPr for a selection<\/td><td>Run the order test before choosing a formula<\/td><\/tr><tr><td>Counting \u201cat least\u201d cases one by one<\/td><td>Use total minus the unwanted case<\/td><\/tr><tr><td>Forgetting the order inside a glued block<\/td><td>Multiply by the internal arrangements of the block<\/td><\/tr><tr><td>Using n! for seating around a table<\/td><td>Use (n\u22121)!, because rotations look identical<\/td><\/tr><tr><td>Miscounting gaps<\/td><td>n items in a row create n + 1 gaps<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">How to Prepare P&amp;C Before CAT 2026<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">With the exam on 29 November, you can still cover this topic in about two weeks. Keep revising Arithmetic and Algebra alongside it, as both are important areas in CAT Quantitative Aptitude. You can also strengthen your Algebra preparation with<strong> our guide on <a href=\"https:\/\/www.catmock.com\/blog\/cat-quadratic-equations\/?utm_source=chatgpt.com\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">quadratic equations for CAT<\/mark><\/a><\/strong>.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Days<\/th><th>Focus<\/th><\/tr><\/thead><tbody><tr><td>1\u20133<\/td><td>Factorials, the counting principle, nPr, nCr, the order test<\/td><\/tr><tr><td>4\u20136<\/td><td>Restrictions: glue, gap and complement methods, number formation<\/td><\/tr><tr><td>7\u20139<\/td><td>Circular arrangements, distributions, stars and bars, geometry counting<\/td><\/tr><tr><td>10\u201312<\/td><td>Mixed sets under a timer<\/td><\/tr><tr><td>13\u201314<\/td><td>Previous year questions and a full mock<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>Use the <a href=\"https:\/\/www.catmock.com\/formula-book\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">CATMOCK formula book<\/mark><\/a> for quick revision and <a href=\"https:\/\/www.catmock.com\/daily-practice\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">daily practice<\/mark><\/a> to keep the habit going. For timing your mocks, read <a href=\"https:\/\/www.catmock.com\/blog\/when-to-start-cat-mock-tests-2026-timing-strategy\/\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">when to start CAT mock tests<\/mark><\/a>. <\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Summary<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Permutation counts arrangements where order matters. Combination counts selections where order does not.<\/li>\n\n\n\n<li>Run the order test before you pick a formula.<\/li>\n\n\n\n<li>Three methods solve most restricted questions: glue for \u201ctogether\u201d, gap for \u201cnever together\u201d and complement for \u201cat least\u201d.<\/li>\n\n\n\n<li>Modern Maths has a low and variable weightage in CAT, so a focused two-week plan is enough.<\/li>\n\n\n\n<li>Most errors come from double counting, identical items and leading zeros.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">FAQs on CAT 2026 Permutation and Combination<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>1. Is permutation and combination important for CAT 2026?<\/strong><br>It carries a modest weightage, because it sits in Modern Maths, which varies from year to year. It still deserves attention because it supports Probability and gives you quick marks when the question is clean.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. How many questions come from permutation and combination in CAT?<\/strong><br>No fixed number exists. Modern Maths contributes only a small share of the QA section, and the count of pure P&amp;C questions changes each year. Check recent papers and exam analyses for the latest trend.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. How do I decide between permutation and combination?<\/strong><br>Ask whether swapping two chosen items changes the outcome. If it does, use a permutation. If it does not, use a combination.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>4. What is the formula for circular permutation?<\/strong><br>For n distinct people around a table, the count is (n\u22121)!. For a necklace or garland, where flipping gives the same arrangement, it is (n\u22121)!\/2.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>5. How many days do I need to prepare permutation and combination for CAT?<\/strong><br>If your basics are in place, about 10 to 14 days of focused practice usually covers the essentials. Add more time if you are new to factorials and counting.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>6. Can I skip permutation and combination in CAT?<\/strong><br>You can skip questions in any topic, but dropping the whole of Modern Maths narrows your choices on exam day. A short, well-planned revision keeps that option open.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>7. Where can I download the CAT permutation and combination formulas PDF?<\/strong><br>Use the download link in this article for the formula sheet and practice set. The CatMock formula book also holds more quick-revision material.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">CAT 2026 permutation and combination rewards clear thinking, not heavy calculation. Start with the order test, pick the matching method and check the condition before you count. Practise the seven examples and ten questions above, then move to previous year papers and timed mocks on <a href=\"https:\/\/www.catmock.com\/\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>CATMOCK<\/strong><\/mark><\/a>. Do that, and counting questions stop being a risk and start looking like quick marks.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">You May Also Like :&nbsp;<strong><a href=\"https:\/\/www.catmock.com\/\">CATMOCK<\/a><\/strong>,&nbsp;<strong><a href=\"https:\/\/www.catmock.com\/pyq\/cat\/2017\">CATMOCK PYQ<\/a><\/strong><br>Follow Us On :&nbsp;<a href=\"https:\/\/www.facebook.com\/catmock.in?mibextid=ZbWKwL\"><strong>Facebook<\/strong><\/a>,&nbsp;<strong><a href=\"https:\/\/www.instagram.com\/cat.mock\">Instagram<\/a><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>If you&#8217;re preparing for CAT 2026, permutation and combination is one of the important Quantitative Aptitude topics to understand. A CAT 2026 permutation and combination question may look easy at first, but one small counting mistake can double your answer. You might count every arrangement twice without even realising it. That one slip explains why [&hellip;]<\/p>\n","protected":false},"author":14,"featured_media":6441,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"ocean_front_end_style_editor":"no","ocean_post_layout":"","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"","ocean_second_sidebar":"","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"","ocean_custom_header_template":"","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"","ocean_menu_typo_font_family":"","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"","ocean_post_oembed":"","ocean_post_self_hosted_media":"","ocean_post_video_embed":"","ocean_link_format":"","ocean_link_format_target":"self","ocean_quote_format":"","ocean_quote_format_link":"post","ocean_gallery_link_images":"on","ocean_gallery_id":[],"footnotes":""},"categories":[1],"tags":[],"class_list":["post-6425","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-blog","entry","has-media"],"featured_image_src":"https:\/\/www.catmock.com\/blog\/wp-content\/uploads\/2026\/10\/CAT-2026-Permutation-and-Combination-e1793430772724.webp","author_info":{"display_name":"Suesh Pandey","author_link":"https:\/\/www.catmock.com\/blog\/author\/suesh\/"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>CAT 2026 Permutation and Combination: Formulas &amp; 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