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There are three English letters available: A, B, C and D. How many unique arrangements can Tom create using these letters?

Question

There are three English letters available: A, B, C and D. How many unique arrangements can Tom create using these letters?

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Solution

The number of unique arrangements of a set of items is given by the factorial of the number of items. In this case, there are 4 letters (A, B, C, D), so the number of unique arrangements is 4 factorial, which is denoted as 4!.

4! = 4 * 3 * 2 * 1 = 24

So, Tom can create 24 unique arrangements using these letters.

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