One idea would be to take the first 8 digits 0,1,2,3,4,5,6, and 7 and order them such that the biggest number is the first digit then the next biggest etc. This should do it, but then we would start with a 0 and that is really a 7 digit number. So let's just make the zero second. 10234567 Can you find a smaller one? If you don't use 0, then you have 1,2,3,4,5,6,7,8 and the number would be 12345678 but that is bigger. There is the issue of negative numbers which I have ignored on purpose! And, do we consider decimals like 1.0234567?
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1023456789
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There are only two smaller 3-digit numbers and both of them have repeated digits.
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