show all work to answer. Each step must be on a separateline.

A city council consists of 10 members.4 are Democrats and 6 are Republicans.A committee of 5 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 Democrat?