This question is a little more challenging. How many integers in the interval [1, 99 999] (ie., the integers between 1 and 99 999 inclusive) have digits whose sum is 10. For example, 46 lies within the interval and 4 + 6 = 10, similarly for 9001, as 9 + 0 +0+ 1 = 10 but the digits of 812 do not sum 10. %3D

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