Numbers with Distinct Digits

Probability Level pending

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

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

  • Every digit in n n occurs at most once within n n .


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


The answer is 8877690.

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