It is a beautiful day at the beach and ten beach volleyball players have shown up at the volleyball courts. Each two-person volleyball team should consist of a setter and a spiker. Five of the players prefer to be a spiker, four of the players prefer to be a setter, and one player is fine either way. In how many ways can a two-person team be assembled such that no player feels out of position?

Guest Mar 1, 2022

#1**+1 **

The one that is not choosy is going to be a Setter. That way there are 5 setters and 5 spikers

Take a setter, makes no difference which one. She can be matched with any of 5 spikers

Take another setter. She can be matched with any of the remaining 4 spikers.

etc

So the answer will be 5! = 120 ways

Melody Mar 2, 2022