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A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?

Correct answer: C. 600

  • A. 300
  • B. 450
  • C. 600
  • D. 750

Explanation

Choose the required people independently: ⁴C₃ = 4 ways for men, ⁶C₂ = 15 ways for women, and ⁵C₃ = 10 ways for children. Thus the total is 4 x 15 x 10 = 600 ways. The likely mistake is 450, which results from using an incorrect combination count for one of the groups.

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