DISCRETE MATH PROBLEM Suppose that a school has 8 freshmen, 10 sophomores, 12 juniors, and 20 seniors. For the following give an exact numerical answer: a) How many committees can be made if it must...

DISCRETE MATH PROBLEM

Suppose that a school has 8 freshmen, 10 sophomores, 12 juniors, and 20
seniors. For the following give an exact numerical answer:
a) How many committees can be made if it must have exactly 2 from each grade? Give an
exact numerical answer.
b) A President, Vice President, and Treasurer will be chosen. How many ways can that be
done if it is not allowed that all 3 people are from the same grade?