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Sagot :
Using the combination formula, it is found that 15,876 teams would include Julia.
The order in which the people are chosen to the team is not important, hence the combination formula is used to solve this question.
What is the combination formula?
[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:
- 5 men are chosen from a set of 9.
- 4 women are chosen from a set of 9(as Julia is already on the team).
Hence the number of teams is given by:
[tex]C_{9,5} \times C_{9,4} = \frac{9!}{5!4!} \times \frac{9!}{5!4!} = 15876[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
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