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

Answer:

20,475 cream cups are possible.

Step-by-step 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.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

4 cups from a set of 28.

So

$C_{28,4} = \frac{28!}{4!24!} = 20475$

20,475 cream cups are possible.