A committee of 4 is to be selected from a group of 5 men ...
A committee of 4 is to be selected from a group of 5 men and 3 women. In how many ways can this be done if the chairman of the committee must be a man?
15
40
70
175
Correct answer is D
From the five(5) men viable for the position of the chairman, one of them must be selected.
This implies; 4 men and 3 women are open for committee membership.
7 C3 = 7!3!(7−3)! =
7⋅6⋅5⋅4⋅3⋅2⋅13.2.1×4.3.2.1
= 35 × 5 = 175
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