Question

You must select a team from a group of 6 boys and 10 girls. How many ways can you select 2 boys and 5 girls?

Answer 1

Using the combination formula, it is found that you can select 2 boys and 5 girls in 2,520 ways.

In this problem, Joao and Elisa would be the same team as Elisa and Joao, hence the order is not important and the combination formula is used to solve this question.

What is the 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:

• 2 boys are selected from a set of 6.

• 5 girls are selected from a set of 10.

Hence:

$T = C_{5,2}C_{10,5} = \frac{5!}{3!2!} \times \frac{10!}{5!5!} = 2520$

You can select 2 boys and 5 girls in 2,520 ways.

More can be learned about the combination formula at https://brainly.com/question/25821700

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