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# There are four distinct pairs of brothers and sisters. In

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Director
Joined: 20 Sep 2006
Posts: 631
There are four distinct pairs of brothers and sisters. In [#permalink]

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12 Sep 2008, 08:36
There are four distinct pairs of brothers and sisters. In how many ways can a committee of 3 be formed and NOT have siblings in it?

8
24
32
56
192

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Senior Manager
Joined: 09 Oct 2007
Posts: 456

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12 Sep 2008, 08:48
32 = C:

(8*6*4) / 3! ==>

8 = 4 pairs of sibling to choose from for the first seat
6 = 3 pairs of sibling to choose from for the second seat
4 = 2 pairs of sibling to choose from for the second seat
_______________________________________________

3! = To get rid of the times you overcounted since order doesn't matter

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Re: combination   [#permalink] 12 Sep 2008, 08:48
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# There are four distinct pairs of brothers and sisters. In

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