A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 7 freshmen, 7 sophomores, 9 juniors, and 7 seniors are eligible to be on the committee, in how many ways can the committee be chosen?
Here is my attempt at your question:
(7C2 * 7C3 * 9C4 * 7C5) ==1,944,810 - Number of ways the committee can be chosen.