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Hard Level Question 28 – answer, explanation & discussion

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Question 28 Back to Exercise

A committee of 3 is chosen from 5 married couples. In how many ways can it be chosen if no couple serves together?

  • A 120
  • B 40
  • C 100
  • D 80 Correct
Correct Answer: Option D

Choose 3 of the 5 couples: 5C3 = 10

One partner from each: 2³ = 8

10 × 8 = 80

Trap: 120 = 10C3 allows couples.

Answer: 80

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