Question

1. An ice cream parlor has 10 options for toppings. You’re going to get exactly 4 of them on your ice cream sundae. Determining the number of assortments of ice cream sundae toppings you could get would require the use of

Answer 1

Using combinations, you can find that there are 210 different assortments of sundae toppings a person could get when choosing 4 out of 10 available options.

Step-by-step explanation:

To determine the number of assortments of ice cream sundae toppings you could get from 10 options when choosing exactly 4, you would use combinations. In mathematics, combinations are a way of selecting items from a group, where the order does not matter. Thus, the formula to calculate combinations is given by the following:

C(n, k) = n! / (k! * (n - k)!)

where C stands for combinations, n is the total number of items to choose from, and k is the number of items to choose. In this scenario, with 10 toppings to choose from (n = 10) and selecting 4 toppings (k = 4), the calculation would be:

C(10, 4) = 10! / (4! * (10 - 4)!) = 210

Therefore, you could get 210 different assortments of sundae toppings from the given options.

Answer 2

Subtraction because that would be determining the answer