November 3, 2015
Problem of the Week
for Tuesday November 3, 2015
Nick has found sixteen different ways to store his black, white, and orange bags: six ways to keep one inside another inside the third, three ways to have one bag contain the other two side by side, six ways to store them with one inside another with the third separate, and one way to keep all three separate. But Nick does a lot of shopping for a relatively big family and finds that three shopping bags are not quite enough, so he purchases a red bag to go along with his black, white, and orange bags. He wants you to tell him how many ways he can store his four bags.