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:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
4 cups from a set of 28.
So
[tex]C_{28,4} = \frac{28!}{4!24!} = 20475[/tex]
20,475 cream cups are possible.
