If Julie is at the store and can buy any 2 pieces of fruit (the store sells apples, oranges, pears, bananas, and strawberries), how many different collections of fruit can she choose

Respuesta :

She can choose 10 different pairs of fruits.

With five different fruits, the first (apple) can be matched with each of the other five. That’s 4 pairs.

The second fruit (orange) can also be matched with each of the other four fruits, except that it has already been matched with an apple, so that would not be a “different” pair. So that’s 3 more pairs.

The third fruit (pear) can make 2 more “different” pairs, the fourth fruit (strawberry) can make 1 more unique pairs.

This implies 4 + 3 + 2 + 1 = 10 pairs

Or we can use combinations for this:

⁵C₂ = 5! / 2! × 3!

= 5 × 4 × 3! / 2 × 3!

= 10 pairs

To learn more about combinations from the given link

https://brainly.com/question/23346126

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