In how many ways a committee, Consisting of 5 men and 6 women can be formed from 8 men and 10 women?
Select
A) 266	B) 86400	C) 11760	D) 5040	E) 720
To choose Required number of ways to form a committee:   Select 5 men out of 8 men and 6 women out of 10 women.   That is 8C5 * 10C6.   8117605=8!/3!*5!   8117605=8*7*6*5!/(3*2*1)*5!=56   10117606=10!/6!*4!   10117606=10*9*8*7*6!/6!*(4*3*2*1)=210   The Required number of ways=210*56= 
<gadget id="calculator">210*56</gadget>
<output>11_760</output>
11760
<result>C</result>
In how many ways a committee, Consisting of 5 men and 6 women can be formed from 8 men and 10 women?