Question

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

Answer 1

Answer:

364 groups of 11 players can be created

Step-by-step 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.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Teams of 11 players from sets of 14. So

$C_{14,11} = \frac{14!}{11!(14-11)!} = 364$

364 groups of 11 players can be created