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?
Just a counting prob
Number of committees =
C ( 7,2) * C(7 ,3) * C ( 9, 4) * C(7 , 5) =
1,944,810 (that's quite a few !!!! )