dlberry0508 dlberry0508
  • 18-05-2020
  • Mathematics
contestada

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

Respuesta :

joaobezerra joaobezerra
  • 23-05-2020

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:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

Teams of 11 players from sets of 14. So

[tex]C_{14,11} = \frac{14!}{11!(14-11)!} = 364[/tex]

364 groups of 11 players can be created

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