<PRE><B>Question 365528</B>
Men - 6,   Women-  9

there are 3 conditions of committee - (4 men,6 women),(5 men, 5 women) and 

(6 men, 4 women), because only 6 men available.

no. of ways to form committee of 4 Men and 6 Women = 6C4 * 9C6 

similarly when 5 men and 5 women =  6C5 * 9C5


and   when 6 men and 4 women = 6C6 * 9C4 



total no. of ways =  6C4 * 9C6 +  6C5 * 9C5 + 6C6 * 9C4 



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