Question

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

Answer 1

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;

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