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?

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

[tex]n=b\times m\times t=12\times11\times10=1320.[/tex]

Thus, the required number of cones is 1320.

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?

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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?