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.
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this problem, 7 kids are taken from a set of 12, hence:
[tex]C_{12,7} = \frac{12!}{7!5!} = 792[/tex]
There are 792 ways to pick a team of 7.
To learn more about the combination formula, you can take a look at https://brainly.com/question/25821700
