passwordproblem.txt

Password hacking: How many possible numbers exist to hack a password with the rules below, and what are they?
1. Composed of the digits 1-9
2. 2-9 digits in length
3. Digits do not repeat
4. Digits are in ascending order
Output should include a full list of possible password strings and the total count.

Good examples
29
234
289
23456789

Bad examples
2 (too short)
243 (not ascending)
4556 (repetition of 5)