A jury pool consists of 9 men and 11 women. The jury will be made up of 12 jurors.

a. If one person from among 6 court officers (3 women and 3 men) is chosen at random from to draw the names out of a hat, what is the probability that the person chosen to draw the names is a man?

b. How many ways can the jury be formed if there are no restrictions on composition?

c. How many ways can 8 women be chosen?

d. How many ways can 4 men be chosen?

e. What is the probability that the random selection of the jury will result in 8 women and 4 men?