Question

2 pairs of shoes, 5 pairs of pants, and 6 shirts on a trip. Assuming all items are compatible, how many different outfits can be worn?

Answer 1

70. I've always learned to draw a tree. You have two types of shoes (A and B). Then you have 5 pairs of pants (A through E) and 6 shirts (A through F). So when you draw a chain (aaa, aab, aac, aad, aae, aae, aaf, aba, etc) you end up with 70.

Answer 2

45