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