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# If a committee of 3 people is to be selected from among 5

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SVP
Joined: 21 Jul 2006
Posts: 1508
If a committee of 3 people is to be selected from among 5 [#permalink]

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23 Jul 2008, 02:05
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If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?

a) 20
b) 40
c) 50
d) 80
e) 120
Director
Joined: 27 May 2008
Posts: 540

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23 Jul 2008, 02:15
tarek99 wrote:
If a committee of 3 people is to be selected from among 5 married couples so that the committee does not include two people who are married to each other, how many such committees are possible?

a) 20
b) 40
c) 50
d) 80
e) 120

Refer below thread, you'll find at least 5 different ways
7-t67484
Manager
Joined: 03 Jun 2008
Posts: 135
Schools: ISB, Tuck, Michigan (Ross), Darden, MBS

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25 Jul 2008, 23:39
Lets first divide the 10 people into couples.

We will have five couples.

To select three unmarried people we chose 3 couples out of the five available and out of these three couples, we chose one person from each of these couples.

C(5,3)*2*2*2 = 80
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Re: PS: Combination   [#permalink] 25 Jul 2008, 23:39
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