If an ice cream store has 4 different flavors, Apple, Blueberry, Cantaloupe, and Duck.
How many three-scoop ice cream cones can be created if the order doesn’t matter. (That is ABC and ACB are the same.)
AAA
AAB
AAC
etc.

How many three-scoop ice cream cones can be created if the order does matter. (That is ABC and ACB are different.)

AAA
AAB
ABA
BAA
etc.

4 cones

24 cones

Step-by-step explanation:

1. If order doesn't matter, we usually use combinations. In this case, we have 4 different flavors, and we're just choosing 3 of them:

4C3 = = 4 cones

2. If order does matter, we use permutations. In this case, we have 4 flavors and we want 3 from them:

4P3 = 4 * 3 * 2 = 24 cones

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step-by-step explanation: