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A club consists of 8 women and 8 men. The club has a

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sandy

Retired Moderator

Joined: 07 Jun 2014

Posts: 4805

GRE 1: Q167 V156

WE:Business Development (Energy and Utilities)

A club consists of 8 women and 8 men. The club has a [#permalink]

30 Dec 2017, 13:09

Expert Reply

00:00

Question Stats:

92% (00:47) correct

7% (01:06) wrong

based on 71 sessions

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A club consists of 8 women and 8 men.
The club has a president and a vice president.
No club member can hold more than one position.

Quantity A	Quantity B
The number of possible assignments such that a woman is president and a man is vice president	The number of possible assignments such that both the president and vice president positions are filled by women

A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.

Drill 1
Question: 1
Page: 559

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sandy

Retired Moderator

Joined: 07 Jun 2014

Posts: 4805

GRE 1: Q167 V156

WE:Business Development (Energy and Utilities)

Re: A club consists of 8 women and 8 men. The club has a [#permalink]

30 Dec 2017, 14:34

Expert Reply

Explanation

For Quantity A, there are 8 options for president and 8 options for vice president, giving you 8 × 8 = 64 total assignments. For Quantity B, once you pick a woman to be president, there are only 7 women left to be vice president, giving you 8 × 7 = 56 assignments.

The answer is choice A.
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Sandy
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