jmc

Question

Suppose I have 6 shirts, 4 ties, and 3 pairs of pants. If an outfit requires a shirt and pants, and can either have a tie or not have a tie, how many outfits can I make?

Accepted Answer

There are 6 choices of shirt, 3 choices of pants, and 5 choices for either wearing one of the 4 ties or not wearing a tie at all, so the total number of outfits is 6 3 5 = 90.