Shana bought sodas and popcorn for the movies. sodas cost $3 each and popcorn cost $4 per bag . shana bought 7vthings from the concession, all either sodas or bags of popcorn. shana spent a total of $26 . write a system of equations involving the number of sodas, s and the bags of popcorn, b .solve the system to see how many of each shana bought. ?

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.