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How many different 3 scoop ice cream cones can you make using 4 flavors if the order of is important and each flavor be chosen more than once?
To determine the number of different 3-scoop ice cream cones that can be made using 4 flavors if the order is important and each flavor can be chosen more than once, we can use the concept of permutations.
Since the order of the scoops matters and each flavor can be chosen more than once, we need to consider all possible arrangements of the 3 scoops.
For the first scoop, we have 4 choices (flavor A, B, C, or D).
For the second scoop, we still have 4 choices, since we allow repetitions.
For the third scoop, we again have 4 choices.
Therefore, the total number of different 3-scoop ice cream cones is determined by multiplying the number of choices for each scoop:
4 * 4 * 4 = 64
So, there are 64 different 3-scoop ice cream cones that can be made using 4 flavors if the order is important and each flavor can be chosen more than once.
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