Question

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

Answer 1

286

Explanation:

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

`_(n)C_(r)=(n!)/((n-r)!r!)`

n = 13

r = 3

`_(13)C_(3)=(13!)/((13-3)!3!)`

`_(13)C_(3)=(13!)/(10!3!)`

`_(13)C_(3)=286`

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