You and your friend enter a drawing with 4 different prizes. The prizes are awarded randomly. A total of 13 people enter the drawing.

Question

In how many ways can you win first prize and your friend win second prize?

Answer 1

There are 13 people who entered the drawing, so there are 13 different options for the person who wins first prize. Once you have won first prize, there are 12 people remaining who could win second prize. Therefore, there are 13 * 12 = <<13*12=156>>156 ways for you to win first prize and your friend to win second prize.