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

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Intern
Joined: 18 Aug 2005
Posts: 17

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

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26 Nov 2005, 13:53
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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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SVP
Joined: 05 Apr 2005
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26 Nov 2005, 22:49
total = 7C2 x 10C10 + 7C3 x 10C9 + 7C4 x 10C8

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Director
Joined: 24 Oct 2005
Posts: 659

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Location: London

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27 Nov 2005, 09:18
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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27 Nov 2005, 09:18
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