Question
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?
Answer: Option C
THE NUMBER OF WAYS OF SELECTING THREE MEN, TWO WOMEN AND THREE CHILDREN IS:
= ⁴C₃ * ⁶C₂ * ⁵C₃
= (4 * 3 * 2)/(3 * 2 * 1) * (6 * 5)/(2 * 1) * (5 * 4 * 3)/(3 * 2 * 1)
= 4 * 15 * 10
= 600 WAYS.
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THE NUMBER OF WAYS OF SELECTING THREE MEN, TWO WOMEN AND THREE CHILDREN IS:
= ⁴C₃ * ⁶C₂ * ⁵C₃
= (4 * 3 * 2)/(3 * 2 * 1) * (6 * 5)/(2 * 1) * (5 * 4 * 3)/(3 * 2 * 1)
= 4 * 15 * 10
= 600 WAYS.
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