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In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

266
5040
11760
86400
None of these

Correct Answer: 11760

Explanation:

Required number of ways

= (⁸C₅ x ¹⁰C₆)

= (⁸C₃ x ¹⁰C₄)

= ❨	8 x 7 x 6	x	10 x 9 x 8 x 7	❩
	3 x 2 x 1		4 x 3 x 2 x 1

= 11760.

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