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You have eight letters to work with, and can use any four of them, but only once per combination. That means that the total number of possible combinations you can make is:

8! / (8 - 4)!

= 8! / 4!

= 8 * 7 * 6 * 5

= 1680

So there are 1680 possible combinations.

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Q: What is the total number of different four-letter arrangements that can be formed from the letters in the word vertical if each letter is used only once in an arrangement?
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