Problem #PRU-100548

Problems Discrete Mathematics Combinatorics

Problem

Gabby the Gnome has 3 cloaks of different colors: blue, green, and brown. He also has 5 different hats: 3 yellow and 2 red. Finally, he owns 6 different pairs of shoes: 2 yellow, and 4 red. Gabby is selecting an outfit: a cloak, a hat, and a pair of shoes. In how many ways can he do it if he wants the color of his shoes to match the color of the hat?