Question

Using 12 flavors of ice​ cream, how many cones with 3 different flavors can you create if it is important to you which flavor goes on the​ top, middle, and​ bottom?

Answer 1

Answer: The required number of cones is 1320.

Step-by-step explanation: Given that there are 12 flavors of ice-cream.

We are to find the number of cones that can be created with 3 different flavors, if it is important which flavor goes on the​ top, middle and​ bottom.

Since we cannot repeat the same flavor for top, middle and bottom, so

number of different choices available for the bottom, b = 12,

number of different choices available for the middle, m = 11

and

number of different flavors available for the top, t = 10.

Therefore, the number of cones that can be created with 3 different flavors is given by

`n=b* m* t=12*11*10=1320.`

Thus, the required number of cones is 1320.