Answering Exams

What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?

What are the number of ways to select 3 men and 2 women such that one man and one woman are always selected?

A. 100
B. 60
C. 30
D. 20
Explanation:
The number of ways to select three men and two women such that one man and one woman are always selected = Number of ways selecting two men and one woman from men and five women
= ⁴C₂ * ⁵C₁ = (4 * 3)/(2 * 1) * 5
= 30 ways.

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