Question

1. if bill has an apple, an orange, a pear, a grapefruit, a banana, and a kiwi at home and he wants to bring three pieces of fruit to school, how many combinations of fruit can he bring?

216
6!
3!
20

Explanation:

Step1: Identify the problem type

This is a combination problem where we need to find the number of ways to choose 3 fruits from 6, without regard to order. The formula for combinations is \( C(n, k)=\frac{n!}{k!(n - k)!} \), where \( n = 6 \) (total fruits) and \( k = 3 \) (fruits to choose).

Step2: Apply the combination formula

Substitute \( n = 6 \) and \( k = 3 \) into the formula:

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Answer:

20