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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?

 Dec 27, 2019
 #1
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5 spikers, 4 setters, 1 either.      2 person team.

 

if the odd one is the spiker then  4 pairs

if the odd one is as setter then 5 pairs

if the odd on is not included then 5*4=20 pairs

 

so that makes   29 possible pairs.

 Dec 28, 2019

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