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 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 Democrats?