A city council consists of ten members. Four are Democrats and six are Republicans. A committee of five to study transportation issues will be randomly selected.
a. If one person on the city council is chosen at random to draw the names out of a hat, what is the probability that the person drawing the names is a Democrat?
b. How many ways can the committee be formed if there are no restrictions on composition?
c. How many ways can 3 Republicans be chosen?
d. How many ways can 2 Democrats be chosen?
e. What is the probability that the random selection of the five-person committee will result in 3 Republicans and 2 Democrat.