Numbers with Distinct Digits

Discrete Mathematics Level pending

Find number of all possible positive integers \(n\) in decimal presentation satisfying the conditions:

  • The leftmost digit of \(n\) is non-zero, and

  • Every digit in \(n\) occurs at most once within \(n\).

\(\)
Clarification:122 is not to be counted. The digit 2 in 122 occurs twice within 122.

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