Mrs. Olson has 8 brands of cat food and 3 cats, each of which receives 1 can per day. In how many different ways can she serve the cats on any day, assuming that no 2 cats get the same brand?

Question

Mrs. Olson has 8 brands of cat food and 3 cats, each of which receives 1 can per day. In how many different ways can she serve the cats on any day, assuming that no 2 cats get the same brand?

Answer 1

This is a combination of 8 things take 3 at a time: ₈C₃

8! / (3!)(8 - 3)!