Frank drove to college and back again. He took 3 hours longer to go to college than he did to come back. On the way there he traveled at 20 mph. However, on the way back he traveled at 50 mph.

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.