This year, there are ten freshmen, eight sophomores, nine juniors, and nine seniors are eligible to be on a committee.

a) In how many ways can a dance committee of 8 students be chosen?

b) In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors.

C) In how many ways can a dance committee be chosen if it is to consist of 4 juniors and 4 seniors.

d) Determine the probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors.

answer in decimal form, rounded to the nearest thousandth.

e) Determine the probability of selecting a committee consisting of 4 juniors and 4 seniors.

answer in decimal form, rounded to the nearest thousandth. Answer: