In how many ways a committee, Consisting of 4 men and 5 women can be formed from 8 men and 10 women? Choose the correct choice from the following choices:
A) 2660
B) 3360
C) 11760
D) 17640
E) 17200
To choose Required number of ways to form a committee:   Select 4 men out of 8 men and 5 women out of 10 women.   That is 8C4 * 10C5.   8C4=8!/4!*4!=70   10C5=10!/5!*5!=252   The Required number of ways=70*252= 
<gadget id="calculator">70*252</gadget>
<output>17_640</output>
17640   17640
<result>D</result>
In how many ways a committee, Consisting of 4 men and 5 women can be formed from 8 men and 10 women?