Find the number of committees of three that can be formed consisting of two men and one woman from four men and three women
-
A.
3 -
B.
6 -
C.
18 -
D.
24
Correct Answer: Option C
Explanation
(^{4}C_2 times ^{3}C_1 = left(frac{4!}{(4-2)!2!}right)timesleft(frac{3!}{(3-1)!1!}right)\=frac{4!}{2!2!}times frac{3!}{2!}\=frac{4 times 3 times 2!}{2 times 1 times 2!} times frac{3 times 2!}{2!}\=18)