You are ordering a new home theater system that consists of a tv, surround sound system, and dvd player. you can choose from 18 different tvs, 18 types of surround sound systems, and 4 types of dvd players. how many different home theater systems can you build?

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.