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Home › GRE › GRE Quant - Combinatorics (Permutations and Combinations)

GRE Quant - Combinatorics (Permutations and Combinations) — GRE Questions & Practice

Practise 132 GRE Quant - Combinatorics (Permutations and Combinations) questions from GRE for competitive exams such as UPSC, Banking, SSC and Railway. Read the worked questions below, check every answer with an explanation, and track what you get wrong.

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Practice questions on GRE Quant - Combinatorics (Permutations and Combinations) — with answers

Try each question first, then open the answer. Explanations are included.

1. In how many ways can a committee of 1 people be chosen (order does not matter) from a group of 10 people?

  1. A8
  2. B10
  3. C15
  4. D13
Show answer

Answer: B

Number of combinations = C(10,1) = 10!/(1!(10-1)!) = 10.

2. In how many ways can 1 items be arranged (order matters) from a set of 6 distinct items?

  1. A11
  2. B9
  3. C6
  4. D4
Show answer

Answer: C

Number of permutations = P(6,1) = 6!/(6-1)! = 6.

3. In how many ways can 4 items be arranged (order matters) from a set of 7 distinct items?

  1. A838
  2. B839
  3. C840
  4. D837
Show answer

Answer: C

Number of permutations = P(7,4) = 7!/(7-4)! = 840.

4. In how many ways can a committee of 4 people be chosen (order does not matter) from a group of 18 people?

  1. A3060
  2. B3057
  3. C3053
  4. D3059
Show answer

Answer: A

Number of combinations = C(18,4) = 18!/(4!(18-4)!) = 3060.

5. In how many ways can a committee of 3 people be chosen (order does not matter) from a group of 12 people?

  1. A222
  2. B220
  3. C215
  4. D223
Show answer

Answer: B

Number of combinations = C(12,3) = 12!/(3!(12-3)!) = 220.

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