Permutations, Combinations & Binomial Theorem

JKSSB Finance Accounts Assistant · Mathematics · 16 practice questions with answers and explanations: 4 Easy, 6 Medium, 6 Hard.

Sample questions

Sample Easy question 1

How many ways can 3 distinct books be arranged on a shelf?

  1. 3
  2. 6
  3. 9
  4. 12
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Answer: B. 3 distinct items can be arranged in 3! = 6 ways.

Sample Medium question 2

In how many ways can 5 people be seated around a circular table?

  1. 24
  2. 120
  3. 60
  4. 12
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Answer: A. Circular arrangements of n people = (n − 1)! = 4! = 24.

Sample Hard question 3

The sum of all binomial coefficients in the expansion of (1 + x)⁸ is:

  1. 64
  2. 128
  3. 256
  4. 512
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Answer: C. Putting x = 1 gives the sum of coefficients: 2⁸ = 256.

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