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.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.7: Problem Solving: Consecutive Integers
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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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