These conditions are strict!

There exists many four digit positive integers that satisfies:

  • The digits are all different.

  • The first digit is not 0(of course!)

  • The second digit is not 1 or 2

  • The third digit is not 3 or 4 or 5

  • The fourth digit is not 6 or 7 or 8 or 9

How many numbers satisfies the above conditions?

Bonus: Find the sum of them.


The answer is 1634.

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