Question

one particular ice cream parlor has 28 different flavors available. How many ice cream cups are possible if you order 4 scoops? this is a combination

Answer 1

20,475 cream cups are possible.

Explanation:

The order in which the flavors are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

`C_(n,x)` is the number of different combinations of x objects from a set of n elements, given by the following formula.

`C_(n,x) = (n!)/(x!(n-x)!)`

In this question:

4 cups from a set of 28.

So

`C_(28,4) = (28!)/(4!24!) = 20475`

20,475 cream cups are possible.