Problem 1061

Daily Math Challenge - December 29, 2023



The positive integer 6432 is a decreasing integer because each digit is less than the digit to its left.  In other words, 6432 is decreasing because 4 is less than 6 and 3 is less than 4 and 2 is less than 3.  The integer 7493 is not decreasing.  How many decresing integers exist between 2000 and 7000.

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