Question

A soccer team roster has 14 players on it. How many groups of 11 players can be created ?

Answer 1

364 groups of 11 players can be created

Explanation:

The order in which the players are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

`C_(n,x)` is the number of different combinations of x objects from a set of n elements, given by the following formula.

`C_(n,x) = (n!)/(x!(n-x)!)`

In this question:

Teams of 11 players from sets of 14. So

`C_(14,11) = (14!)/(11!(14-11)!) = 364`

364 groups of 11 players can be created