Question

The student council at Gotham College is made up of four freshmen, fiv sophomores, six juniors, and seen seniors. A yearbook photographer would like to line up three council mebers from each class for a picture. How many dfferent pictures are possible if each group of classmates stands together?

Answer 1

You start by looking at one class, say the freshmen. You are going to take 3 from out of this group four. How many ways can this be done?

Answer 2

Hint: one freshman will be left behind. How many ways can that be done? It's a different way of looking at the same problem, and maybe a little easier.