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prealgebra senior
Problem
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?
In how many ways can a two-person team be assembled such that no player feels out of position?
Solution
Each of the five spikers can be matched with any of the four setters to make possible teams.
The one player who is fine either way can be matched with any of the nine other players to make possible teams.
Therefore, there are possible teams in which no player feels out of position.
The one player who is fine either way can be matched with any of the nine other players to make possible teams.
Therefore, there are possible teams in which no player feels out of position.
Final answer
29