Fred has five place settings consisting of a dinner plate a

Fred has five place settings consisting of a dinner plate, a salad plate, and a bowl. Each setting is a different color. If Fred randomly selects a dinner plate, a salad plate, and a bowl, what is the probability that they all have different colors?

Solution

we have only 3 plates and 5 places settings

so the probability that they all have different colors?

5C1 / 5C3 = 0.5