Permutations & Combinations: 3 letter passwords

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Each of the 11 letters A, H, I, M, O, T, U, V, W, X and Z appears same when looked at in a mirror. They are called symmetric letters. Other letters in the alphabet are asymmetric letters. How many three letter computer passwords can be formed (no repetition allowed) with at least one symmetric letter?
  1. gmat24.de
  2. GMAT
  3. MBA
  4. CAT
  5. Management
  6. Leadership
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