Consider the set
\(S=\{1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,19,23,24,\ldots,123456789\}, \)
which consists of all positive integers whose digits strictly increase from left to right. This set is finite. What is the median of the set?
The median of the set is 12345.
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