What is the maximum number of different three letter palindromes you can make using any letter of the alphabet?

Answer 1

Omo

Answer 2

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).

Answer 3

It is 676.