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Hard Level Question 36 – answer, explanation & discussion

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Question 36 Back to Exercise

A cricket XI must contain exactly 4 bowlers, 6 batsmen and 1 wicket-keeper, chosen from 6 bowlers, 8 batsmen and 2 keepers. In how many ways?

  • A 420
  • B 840 Correct
  • C 1,680
  • D 2,730
Correct Answer: Option B

6C4 × 8C6 × 2C1 = 15 × 28 × 2 = 840

Trap: 420 forgets the choice of keeper.

Answer: 840

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