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

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Director
Joined: 20 Sep 2006
Posts: 658
Followers: 2

Kudos [?]: 77 [0], given: 7

There are four distinct pairs of brothers and sisters. In [#permalink]  12 Sep 2008, 07:36
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
Senior Manager
Joined: 09 Oct 2007
Posts: 467
Followers: 1

Kudos [?]: 22 [0], given: 1

Re: combination [#permalink]  12 Sep 2008, 07:48
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
Re: combination   [#permalink] 12 Sep 2008, 07:48
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