Question

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?

Answer 1

There are 20 ways to assemble a two-person team with no players feeling out of position.

Step-by-step explanation:

In order to assemble a two-person team with no players feeling out of position, we need to consider the preferences of the players. Five players prefer to be a spiker, four players prefer to be a setter, and one player is fine either way. Here's how we can calculate the number of ways to assemble the teams:

Choose 1 spiker out of the 5 spiker players. This can be done in 5 ways.

Choose 1 setter out of the 4 setter players. This can be done in 4 ways.

Since one player is fine either way, we have already chosen both players for one team. This can be done in 1 way.

Therefore, the number of ways to assemble a two-person team is 5 * 4 * 1 = 20.

Answer 2

4 i think

Step-by-step explanation: