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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?

A.

15

B.

40

C.

70

D.

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!(73)!

76543213.2.1×4.3.2.1

= 35 × 5 = 175