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13 votes
13 votes
There are 9 different positions on a baseball team. If a team has 14 players, how many different line-ups can the team make?

User Johanur Rahman
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1 Answer

14 votes
14 votes

The team can make a total of 2,002 different line-ups

To know the number of line-ups the team can make, we need to know the number of ways in which we can select 9 different players from a total of 14

The number of ways this can be done is 14 C 9 ways which is pronounced as 14 combination 9 ways

Mathematically, that will be;


\frac{14!}{(14-9)!9!\text{ }}\text{ = }(14!)/(5!9!)\text{ = 2,002 line ups}

User Ahmad Othman
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