Carlos and Stefan each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Carlos spent $76 on 5 ft² of grass sod and 12 geraniums. Stefan spent $122 on 13 ft² of grass sod and 6 geraniums. Find the cost of one ft² of grass sod and the cost of one geranium.

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.