The co-op board of a certain residential building must consist of two men and three women. If there are six men and...

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Princeton Review

The co-op board of a certain residential building must consist of two men and three women. If there are six men and seven who want to be on the committee, how many different make-ups of the committee exist?

A. 65
B. 525
C. 1,050
D. 1,287
E. 100,800

OA B

[Scott@TargetTestPrep]

Princeton Review

The co-op board of a certain residential building must consist of two men and three women. If there are six men and seven who want to be on the committee, how many different make-ups of the committee exist?

A. 65
B. 525
C. 1,050
D. 1,287
E. 100,800

OA B

Solution:

6C2 x 7C3 = [(6 x 5) / 2] x [(7 x 6 x 5) / (3 x 2)] = 15 x 35 = 525

Answer: B