Question

from a selection of 5 different fruits you want to make a fruit salad using any 3 of them how.many different combinations of fruits can you choose? here

Answer 1

Using the formula C(n,r) = n! / (r!(n-r)!), we can calculate that there are 10 different combinations of fruits that can be chosen.

Step-by-step explanation:

To find the number of different combinations of fruits that can be chosen, we can use the concept of combinations.

We have 5 different fruits and we want to choose 3 of them.

The formula for combinations is C(n,r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen.

In this case, n = 5 and r = 3.

Substituting the values into the formula, we get C(5,3) = 5! / (3!(5-3)!)

= 5! / (3!2!)

= (5 * 4 * 3 * 2 * 1) / ((3 * 2 * 1) * (2 * 1))

= 10.

Therefore, there are 10 different combinations of fruits that can be chosen to make the fruit salad.