This year, there are seven freshmen, ten sophomores, nine juniors, and seven 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. Write your answer in decimal form, rounded to the nearest thousandth.
e) Determine the probability of selecting a committee consisting of 4 juniors and 4 senions. Write
your answer in decimal form, rounded to the nearest thousandth.