Suppose an ice cream store offers 36 flavors of ice cream cones in sizes small, medium, and large. How many different selections of cones are possible if each cone has one flavor?
A)42,840
B)108
C)46,656
D)7,140
E)1,296

Question

Suppose an ice cream store offers 36 flavors of ice cream cones in sizes small, medium, and large. How many different selections of cones are possible if each cone has one flavor? ​
A)42,840
B)108
C)46,656
D)7,140
E)1,296

Quizplus · Accepted Answer

For each of the 36 flavors, there are 3 different sizes to choose from. Therefore, there are 3 options for each of the 36 flavors, resulting in a total of 3^36 possible cone selections. Using a calculator, this equals approximately 46,656.

Suppose an Ice Cream Store Offers 36 Flavors of Ice