This year, there are 9 freshmen, 10 sophomores, 9 juniors, and 8 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.

Determine theprobabilityof selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors. Answer in decimal form, rounded to the nearest thousandth.

Determine theprobabilityof selecting a committee consisting of 4 juniors and 4 seniors. Answer in decimal form, rounded to the nearest thousandth.