A Senate committee has 8 Republicans and 6 Democrats. In how many ways can we form a subcommittee with 3 Republicans and 2 Democrats?
There are 8 c 3 ways to pick the Republicans = 56 ways
for each of these 56 ways to pick a Republican there are
6 c 2 ways to pick the Dims = 15
56 x 15 = 840 ways
Yep, that's correct. Thank you!