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The maximum number of different three letter palindromes that can be made using any letter of the alphabet is 1 - that letter repeated 3 times.

However, if you meant you can pick any letter for each letter of the palindrome, then:

The first and last letters are the same and there is a choice of 26 letters for them;

For each choice for the first (and last) letter, there is a choice of 26 letters for the second letter

Making a total of 26 × 26 = 676 such three letter palindromes (where case of the letter does not matter).

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7y ago

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