Combinatorics › Permutations and arrangements › Arrangements of letters

Almost palindromic letter arrangements

High school · ●●●○○ 50 pts

Call a string of letters SS an almost palindrome if SS and the reverse of SS differ in exactly two places. Find the number of ways to order the letters in HMMTTHEMETEAMHMMTTHEMETEAM to get an almost palindrome.

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counting arrangementspalindromesmultiset permutationscase analysis