A small company employs 3 men and 5 women. If a team of 4 employees is to be randomly selected to organize the company retreat, what is the probability that the team will have exactly 2 men?
Options:
(A) 1/14
(B) 1/7
(C) 3/7
(D) 2/7
(E) 1/2 Hmmm, my stream of consciousness:
Total ways to choose 4 employees from 8 employees = 8C4
Two women = 5C2
Two Men = 3C2
P = (5C2 * 3C2)/8C2 = 3/7 hence So, the answer is (C).