A student was selected as a captain of a cooking team in a consumer and family studies class. The student could pick 2 of 5 girls and 3 of 7 boys to be on their team. What is the total number of different teams that this captain could select?

This captain could select 350 different teams.

Step-by-step explanation:

The order in which the girls and the boys are picked is not important. For example, picking Daniela and Laura is the same as picking Laura and Daniela. So we use the combinations formula to solve this question.

Combinations Formula:

is the number of different combinations of x objects from a set of n elements, given by the following formula.

Girls:

2 from a set of 5. So

Boys:

3 from a set of 7. So

Total:

This captain could select 350 different teams.

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5

rick would give her the best deal as he will charge $8.88 per hour