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committee of politicans

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committee of politicans

by gmatv09 » Thu Oct 22, 2009 3:05 pm
A committee of 7 politicians is chosen from 10 liberal members, 8 labor members and 5 independents. In how many ways can this be done so as to include exactly 1 independent and at least 3 liberal members and at least 1 labor member?

Please help
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by mp2437 » Fri Oct 23, 2009 5:16 am
I am getting an answer of 73080.

Total possibilites are:

5C1 * 10C3 * 8C3 + 5C1 * 10C4 * 8C2 + 5C1 * 10C5 * 8C1,
which equals 33600 + 29400 + 10080 = 73080.
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by gmatv09 » Fri Oct 23, 2009 6:24 am
that is correct ans.

thanks ...
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