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I'm sorry for asking a question that has already been asked, but the last time this was posted, it did not get good answers. Please help me!:

 

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?

 Jun 26, 2021

Best Answer 

 #1
avatar+524 
+4

Is it okay if I answer? 

 

Spikers = 5, Setters = 4 and 1 either way.

Each 2-person team should have 1 setter and 1 spiker. 

 

Case 1 : If spikers = 6 and setters = 4                 Case 2 : If spikers = 5 and setters = 5

Then no. of ways \(={^6} C_{1}×{^4}C_{1}\)                         Then no. of ways \(={^5} C_{1}×{^5}C_{1}\)

 

In order to get total no. of ways, add the respective values you get in both cases. 

 Jun 26, 2021
 #1
avatar+524 
+4
Best Answer

Is it okay if I answer? 

 

Spikers = 5, Setters = 4 and 1 either way.

Each 2-person team should have 1 setter and 1 spiker. 

 

Case 1 : If spikers = 6 and setters = 4                 Case 2 : If spikers = 5 and setters = 5

Then no. of ways \(={^6} C_{1}×{^4}C_{1}\)                         Then no. of ways \(={^5} C_{1}×{^5}C_{1}\)

 

In order to get total no. of ways, add the respective values you get in both cases. 

amygdaleon305 Jun 26, 2021
 #2
avatar+114880 
+3

Thanks Amy  laugh

 

BigBoi, next time you ask a repost question can you please give the address of the original post.

It is better that all the answers are together even if some are not good.   wink

 Jun 26, 2021

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