Answer:
465
Step-by-step explanation:
Since we are looking for the the number of combinations to have 2 different flavors in the ice cream, we can use the formula for combination.
[tex]_{n}C_{k}=\dfrac{n!}{k!(n-k)!}[/tex]
Our variables are:
n = 31
k = 2
[tex]_{31}C_{2}=\dfrac{31!}{2!(31-2)!}[/tex]
[tex]_{31}C_{2}=\dfrac{31!}{2!29!}[/tex]
[tex]_{31}C_{2}=\dfrac{31!}{2!29!}[/tex]
[tex]_{31}C_{2}=465[/tex]
The number of possible combinations of having 2 different flavors out of 31 different flavors is 465.
