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The first letter can be any one of the 6 letters. For each of those . . .

The second letter can be any one of the remaining 5 letters. For each of those . . .

The third letter can be any one of the remaining 4 letters. For each of those . . .

The fourth letter can be any one of the remaining 3 letters. For each of those . . .

The fifth letter can be any one of the remaining 2 letters.

The total number of different ways they can be arranged is (6 x 5 x 4 x 3 x 2) = 720 .

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Q: What are the number of different ways you can arrange the letters MORGAN?
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