Question

Brent can pick 2 different toppings for his ice cream. The toppings are cherries, sprinkles, and chocolate syrup. What are all of the possible combinations of toppings that he can make?

Answer 1

The total combinations are 3

Explanation:

The 3 toppings are cherries, sprinkles and chocolate syrup.

Out of these 3, he has to choose any 2.

number of "r" particular things out of "n" things is given by formula

nCr =
`(n!)/((n-r)!(r!))`

here, n=3 and r=2, so

3C2 =
`(3!)/((3-2)!(2!))` = 3.

in the above case, the 3 combinations are,

cherries - sprinkles

cherries - chocolate syrup

sprinkles - chocolate syrup