Understanding Palindromes
A palindrome reads the same forwards and backwards. For a 7-letter palindrome, the first three letters determine the entire word.
The Calculation
* First Letter: You have 26 choices (A-Z).
* Second Letter: You have 26 choices (A-Z).
* Third Letter: You have 26 choices (A-Z).
Since the first three letters determine the entire palindrome, the total number of possible 7-letter palindromes is:
26 * 26 * 26 = 17,576