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There are 13 possible toppings at the local ice cream store you have three toppings on a large Sunday how many combinations of ice cream toppings are possible

Respuesta :

DizzyBerco

Answer:

286

Step-by-step explanation:

Since we are looking for the number of combination, we use the formula:

[tex]_{n}C_{r}=\dfrac{n!}{(n-r)!r!}[/tex]

n = 13

r = 3

[tex]_{13}C_{3}=\dfrac{13!}{(13-3)!3!}[/tex]

[tex]_{13}C_{3}=\dfrac{13!}{10!3!}[/tex]

[tex]_{13}C_{3}=286[/tex]

So there are 286 possible combinations of 13 toppings at 3 toppings on a large sundae.

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