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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?

 Feb 5, 2021
 #1
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If  we choose  the  one who is fine either way to be a spiker....we  have  to  choose  one of 6 spikers and one of  4 setters  =   6 * 4  =   24 ways

 

If we choose  the  one who is fine either way to be a setter  we have to choose one of 5 spikers and  one of 5  setters =  5 * 5  = 25 ways

 

So    25  +  24 =     49 ways

 

 

cool cool cool

 Feb 5, 2021
 #2
avatar+82 
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It's actually 29, but thanks for helping! :D

Leafie  Feb 8, 2021

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