What's My Number?

Probability Level 2

Calvin's favorite number NN has the following properties:

  1. NN has 8 distinct digits.
  2. The digits of NN are strictly decreasing from left to right.
  3. NN is divisible by 180.

What are the first three digits of Calvin's favorite number?

This problem is posed by Muhammad A.

Details and assumptions

The first three digits of 10231023 are 102102. Ignore any leading zeroes.


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