An ice cream shop is testing some new flavors of ice cream they invent 25 new flavors for customers to try and throw out the 13 least popular flavors the shop makes 80 cartons of each of the remaining flavor it takes two cartons to get on liter of ice cream. How much total ice cream is in the cartons

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.