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2026 MIMC keystage2-EMIC team Question 4

xIMC · 2026 MIMC keystage2-EMIC team

Question 4

A palindrome is a word that is spelled the same forwards and backwards. When using the letters from the word NAADAM, nine different palindromes can be formed, which are:

A, D, M, N, AA, AAA, ADA, AMA, ANA.

How many different palindromes can be formed by using the $11$ letters of MONGOLIA IMC?