In how many ways can we form an international commission if we must choose one European country from among 6 European countries, one Asian country from among 4, one North American country from among 8, and one African country from among 7?
I think that for this problem you can start by choose 1 country from it's group, which would be C(6, 1) C(4, 1) C(8, 1) C(7, 1), which would be 6x4x8x7=1344 ways to choose the commitee.