Bernie's Breakfast Buffet has a wide selection of breakfast food available. They have 4 types of cereal, 5 types of fruit, and 6 styles of cooked eggs. How many different ways can someone choose a breakfast consisting of one type of cereal, one piece of fruit, and one style of cooked eggs?

Question

I am not that good at probabilities.

Answer 1

C(4,1) C(5, 1) C(6, 1)
= (4!/1!3!) (5!/1!4!) (6!/1!5!)
= ...

Answer 2

wow. Since only one of each can be chosen, we have
4*5*6 ways to select the 3 items.

Graham's solution is generalizable for situations where several of each item may be chosen, but seems like overkill in this case.