There are 4000 students at mountain high school and 1/8 of the students are seniors. if 1/5 of the seniors are in favor of the debate team and 5/7 of the remaining students (not seniors) are also in favor of the team how many students do not favor this idea?

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.