A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 5 freshmen, 7 sophomores, 8 juniors, and 9 seniors are eligible to be on the committee, in how many ways can the committee be chosen?
Choose 2 preshmen out of 5 = 5 c 2 = 10 x
3 soph out of 7 7 c 3 = 35 x
4 jun 8 8 c 4 = 70 x
5 seniors 9 9 c 5 = 126
10 x 35 x 70 x 126 =.......