JEE Advance - Mathematics (1994 - No. 27)
A committee of 12 is to be formed from 9 women and 8 men. In how many ways this can be done if at least five women have to included in a committee? In how many of these committees? In how may of these committees
(a) The women are in majority?
(b) The men are in majority?
(a) The women are in majority?
(b) The men are in majority?
The total number of ways to form the committee with at least 5 women is 6062.
The number of committees where women are in the majority is 2702.
The number of committees where men are in the majority is 1008.
The total number of ways to form the committee with at least 5 women is 6072.
The number of committees where men are in the majority is 1018.
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