+0

-1
297
2
+55

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

#1
+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
+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.

amygdaleon305 Jun 26, 2021
#2
+117758
+3

Thanks Amy

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.

Jun 26, 2021