Question

A dodgeball team at Lincoln Elementary School needs a team of 7 in order to compete against other schools. If there are 12 kids that want to be part of the team, how many different ways can you pick a team of 7

Answer 1

Using the combination formula, it is found that there are 792 ways to pick a team of 7.

The order in which the kids are chosen is not important, hence, the combination formula is used to solve this question.

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, 7 kids are taken from a set of 12, hence:

$C_{12,7} = \frac{12!}{7!5!} = 792$

There are 792 ways to pick a team of 7.

To learn more about the combination formula, you can take a look at brainly.com/question/25821700