Cindy bought an item from the store. The cashier charged her $22.42 which included the original price of the item plus 7% state sales tax. What was the original price of the item? Your answer must be correct to the penny and must be stated as an amount of money

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.