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we have 26 alphabets.

The first letter has 26 choices

The second letter has 25 choices ( we cannot choose same first letter again)

The third letter has 24 choices ( we cannot choose first or second letter again)

Total ways = 26 x 25 x 24

                  = 15600

 15600 different three-letter initials with none of the letters repeated can people have.

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