Permutation and Combination questions and answers

20 questions in 2 online tests, each with its answer and a worked solution.

Start Test 1

Permutation and Combination: key points

A permutation is an arrangement, in which order matters; a combination is a selection, in which it does not.

  • n different things can be arranged in n! ways.
  • With repeated letters: n! / (p! × q! ...), where p, q are the numbers of repeats.
  • Selections: nCr = n! / (r! × (n − r)!).
  • n people can sit around a round table in (n − 1)! ways. Handshakes among n people = nC2.

How to practise Permutation and Combination

Start with the key points, then take one Permutation and Combination test without rushing. Review every explanation, note the steps you missed and repeat the topic against the clock. APTITUDE TESTER has 20 questions in 2 tests for this topic.

  • Read the method before attempting a timed test.
  • Record mistakes by type: concept, calculation or time management.
  • Return to the hardest questions after a day and try them again.

Continue with another Quantitative topic when your accuracy is steady.

Permutation and Combination online tests

Sample Permutation and Combination questions

  1. 1. In how many different ways can the letters of the word 'MOTHER' be arranged?
    1. 360
    2. 36
    3. 120
    4. 720

    Reference: q-ff9de5e3-77 · Report this question

    Show answer and solution

    Answer: D. 720

    The word has 6 different letters, so the number of arrangements is 6! = 720.
  2. 2. In how many different ways can the letters of the word 'BALLOON' be arranged?
    1. 630
    2. 1,260
    3. 2,520
    4. 5,040

    Reference: q-c85b5e7d-78 · Report this question

    Show answer and solution

    Answer: B. 1,260

    There are 7 letters with L repeated 2 times and O repeated 2 times. Arrangements = 7! / (2! × 2!) = 1,260.
  3. 3. In how many ways can a committee of 3 members be selected from 7 persons?
    1. 210
    2. 21
    3. 35
    4. 27

    Reference: q-e3789f30-74 · Report this question

    Show answer and solution

    Answer: C. 35

    Number of ways = 7C3 = 35.

See all the questions of Test 1

Permutation and Combination: questions people ask

How many Permutation and Combination questions are there?

There are 20 Permutation and Combination questions in 2 tests. Each test has its own page that lists the questions with their answers and solutions.

How long does a Permutation and Combination test take?

A test of 10 questions has a time limit of 15 minutes, which is 90 seconds a question.

Is there negative marking?

Rules vary by set. The rules screen shows the time limit, marks, any wrong-answer penalty and calculator permission before you begin. Feedback mode has no time limit or negative marking.

Can I practise Permutation and Combination without a time limit?

Yes. Choose practice mode: there is no clock, and the answer and solution appear as soon as you select an option.