Addison decides to Jake 3 different fruits with her toschool today. She has 7 to pick from: grapes, strawberries, akiwi, blueberries, an orange, a peach, and a pear. How manydifferent combinations of 3 fruits can she take?

This is a question asking you to pick 3 fruits from an array of 7 different fruits.
This means we can use combination to solve this question.
To pick r things from a set of n things:
[tex]\begin{gathered} C^n_r=\frac{n!}{r!(n-r)!} \\ \text{where n! = n }\times\text{ (n-1) }\times\text{ (n-2) }\times\ldots \end{gathered}[/tex]Thus, to pick 3 fruits from a set of 7 fruits:
[tex]C^7_3=\frac{7!}{3!(7-3)!}=\frac{7!}{3!4!}=7\times5=35[/tex]Therefore, the number of ways to pick 3 fruits from 7 fruits is = 35 ways