Question

Gerald has three shirts (blue, white, and grey), four pairs of pants (black, light grey, dark grey, and blue), and three ties (orange, blue, and black). How many different outfits that include one shirt, one pair of pants, and one tie can Gerald make?

Answer 1

36

Explanation:

By the Fundamental Counting Principle, if there are x ways to choose one thing, y ways to choose another thing, and z ways to choose another thing, then there are x*y*z possible combinations of all of those things.

Here, there are 3 ways to choose a shift, 4 ways to choose a pair of pants, and 3 ways to choose a tie. Therefore, there are 3*4*3 = 36 different outfits that Gerald can make that include one shirt, pair of pants, and tie.