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GMAT Permutations — practice questions

Explore 5 free Permutations questions in GMAT Quantitative Reasoning. Open each question or exercise to read its content, reference answers and available explanation.

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Permutations questions and exercises with answers

Showing questions 1–5 of 5.

Letters of 'CORPORATION' arranged so vowels stay together. Number of ways:Read the answer and worked solution →Number of ways to arrange letters of CAT:Read the answer and worked solution →How many 2-digit codes from {1,2,3,4,5}, no repeat:Read the answer and worked solution →How many 3-letter words from 5 letters with repetition:Read the answer and worked solution →Out of 8 students, pick a captain and vice-captain:Read the answer and worked solution →

Worked practice questions

Letters of 'CORPORATION' arranged so vowels stay together. Number of ways:

  1. 810
  2. 1440
  3. 2880
  4. 50400
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Correct answer: D. 50400

1. CORPORATION = 11 letters with vowels O, O, A, I, O (5 vowels, three O's repeating) and consonants C, R, P, R, T, N (6 letters with two R's). 2. Treat vowels as one block: 7 objects to arrange = 7!/(2!) for the two R's = 7!/2 = 2520. 3. Internal vowel arrangement = 5!/3! = 20. Total = 2520 × 20 = 50400. _Source: KMAT Karnataka 2023 PYQ Q.42_

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Number of ways to arrange letters of CAT:

  1. 3
  2. 6
  3. 9
  4. 12
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Correct answer: B. 6

1. 3! = 6. _Source: 501-GMAT-Questions Section 4 / Manhattan Quant Bank_

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How many 2-digit codes from {1,2,3,4,5}, no repeat:

  1. 25
  2. 10
  3. 20
  4. 15
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Correct answer: C. 20

1. 5 × 4 = 20. _Source: 501-GMAT-Questions Section 4 / Manhattan Quant Bank_

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More Quantitative Reasoning topics

Modern MathematicsQuantitative ReasoningAlgebraPermutations and CombinationsLogical ReasoningQuantitative AptitudeAverages and MixturesSimple and Compound Interest