Using the combination formula, it is found that there are 286 10-person teams.
The order in which the girls 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, 10 girls are chosen from a set of 13, hence:
[tex]C_{13,10} = \frac{13!}{10!3!} = 286[/tex]
There are 286 10-person teams.
More can be learned about the combination formula at https://brainly.com/question/25821700
