Question

How many integers greater than 5400 and less than 10000 have both of the following properties:

- digits are distinct

- digits 2 and 7 do not occur.

I got that there are 1680 integers from 0-9999 and 960 integers from 0-5400 with those two properties so using the subtraction principle then there are 720 from 5401-9999 with those two properties.

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