Question

There are 15 players on a volleyball team. Only 6 players can be on the court for a game. How many different groups of players of 6 players can the coach make, if the position does not matter?

Answer 1

Using the combination formula, the coach can make 5,005 different groups.

The position does not matter, hence the combination formula is used.

What is the combination formula?

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

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

In this problem, 6 students are taken from a set of 15, hence the number of groups is:

$C_{15,6} = \frac{15!}{6!9!} = 5005$

More can be learned about the combination formula at brainly.com/question/25821700

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