KöMaL 2014 K406
We say that an integer is a mountain number'' if it consists of digits distinct from one another and from 0, and its digits are increasing from the first one to the mountain top'', then decreasing from the top to the last digit. The mountain top cannot be the first or the last digit. ) Determine the largest and the smallest mountain numbers. ) How many mountain numbers with 4 digits are there?
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