The Candle Company is designing a new cylindrical candle. They are looking at four different designs. Which design will use the least amount of paper to cover the entire candle for protection during shipping? Candle Mold Choices Mold Diameter Height A 2 inches 7 inches B 2 inches 4 inches C 3 inches 3 inches D 4 inches 3 inches Recall the formula S A = 2 pi r squared + 2 pi r h. Mold A Mold B Mold C Mold D

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.