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# In how many ways can a jury of 12 be chosen from 10 men and

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In how many ways can a jury of 12 be chosen from 10 men and [#permalink]  26 Nov 2005, 12:53
In how many ways can a jury of 12 be chosen from 10 men and 7 women so that there are at least 6 men and not more than 4 women on each jury.
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Re: Combinations [#permalink]  26 Nov 2005, 21:49
total = 7C2 x 10C10 + 7C3 x 10C9 + 7C4 x 10C8
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The combination can be
8 M and 4 w or
9M and 3 W or
10M and 2 W

ie. 10C8 * 7C4 + 10C9 * 7C3 + 10C10 * 7C2 = 1946
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