Answered

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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

Sagot :

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.

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