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# Combinations GMAT Prep PS

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Manager
Joined: 19 Oct 2008
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19 Mar 2009, 12:15
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A committee of three people is to be chosen from four married couples. What is the number of different committees that can be chosen if two people who are married to each other cannot both serve on the committee:

A. 16
B. 24
C. 26
D. 30
E. 32
Senior Manager
Joined: 08 Jan 2009
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Re: Combinations GMAT Prep PS [#permalink]

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19 Mar 2009, 21:11
Ans

4C3 - Select the 3 couple out of four couples

2C1 - Select one out of each pair.

therefore number of commitees = 4C3 * (2C1)^3 = 32.
Manager
Joined: 19 Oct 2008
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Re: Combinations GMAT Prep PS [#permalink]

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20 Mar 2009, 10:52
Many thanks. OA is indeed E.
Re: Combinations GMAT Prep PS   [#permalink] 20 Mar 2009, 10:52
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