I need help with this math problem please! At a basketball game, 55% of people attending were supporting the home team, while 45% were supporting the visiting team. If the total number of people attending the game was 520, how many people attending were supporters of the home team?

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.