Question

Answer the following:

Capital English alphabet has 11 symmetric letters that appear same when looked at in a mirror. These letters are A, H, I, M, O, T, U, V, W, X, and Y. How many symmetric three letter passwords can be formed using these letters?

Answer 1

Total number of symmetric three letters passwords formed from 11 symmetric letters

= ¹¹P₃

= `(11!)/(8!)`

= 11 × 10 × 9

= 990