Bunuel wrote:
Three men (out of 7) and 3 women (out of 6) will be chosen to serve on a committee. In how many ways can the committee be formed?
A. 100
B. 300
C. 350
D. 600
E. 700
3 men can be selected in 7C3 = (7 x 6 x 5)/3! = 35 ways.
3 women can be selected in 6C3 = (6 x 5 x 4)/3! = 20 ways.
Thus, the committee can be selected in 35 x 20 = 700 ways.
Answer: E
