### Out of 7 women and 9 men a committe consisting of 3 women and 4...

Out of 7 women and 9 men a committe consisting of 3 women and 4 men is to be forned. In hiw many ways can this be done if :
(a)any woman and any man may be included
(b) one particular man must be on the committe?

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isaaq
1 week ago
Here one particular man must included, so we have to select only 3 women and 3 men out of 7 women and 8 men
no. of ways = 7C3 * 8C3
= 35 * 56
= 1960
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EmX
1 week ago
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victory
1 week ago
(a)For male:
9 combination 4=9!/(9-4)!4!
=126 ways
For women:
7 combination 3=7!/(7-3)!3!
=35 ways
therefore for any woman and any man include= 216*35
=4410 ways
(b) (1- 9)! therefore
8 combination 3= 8!/(8- 3)!3!
=56
therefore one particular man must be on the committe would be
35 * 56=1960 ways
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