Question

Shaun orders a triple scoop

cone with three different
flavors. There are 31 flavors
from which to choose. How
many different groups of
flavors are possible?

Answer 1

There are 4,495 different groups of flavors possible when ordering a triple scoop ice cream cone with three different flavors from 31 options.

Step-by-step explanation:

The student's question is about finding the number of different groups of flavors possible when Shaun orders a triple scoop cone with three different flavors and has 31 flavors to choose from. To solve this, we use the combinations formula for selecting 3 flavors out of 31 without regards to the order of selection. The formula for combinations is C(n, k) = n! / (k!(n-k)!), where 'n' is the total number of items you are choosing from and 'k' is the number of items you are choosing.

Here, n=31 (total flavors) and k=3 (scoops). So the calculation would be:

C(31, 3) = 31! / (3! × (31-3)!)

This results in:

C(31, 3) = 31 × 30 × 29 / (3 × 2 × 1)

After calculating, we find that there are 4,495 different groups of flavors possible.