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 o

Question

1 year ago

9

f 6 players can the coach make, if the position does not matter?

1 answer:

stealth61 [152] · Answer 1 · 2023-06-02T13:46:39+03:00

There are 5005 different groups

<h3>How to determine the number of groups?</h3>

The given parameters are:

Players, n = 15

Selected, r = 6

The number of groups is then calculated as:

$Group = ^{n}C_r$

This gives

$Group = ^{15}C_6$

Apply the combination formula

$Group = \frac{15!}{9!6!}$

Evaluate the expression

Group = 5005

Hence, there are 5005 different groups