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

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by swerve » Tue Mar 24, 2020 6:30 am

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Answers

A

B

C

D

E

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Difficulty—

Source: 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 women 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. 10,800

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

by Scott@TargetTestPrep » Thu Mar 26, 2020 1:33 pm
swerve wrote: ↑
Tue Mar 24, 2020 6:30 am
 Source: 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 women 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. 10,800

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

Answer: B

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