Small but distinct
What is the smallest positive 3-digit number which comprises of 3 distinct digits?
Details and assumptions
The number is a 2-digit number, not a 3-digit number.
The answer is 102.
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1 solution
In order for the number to be small, the first digit has to be as small as possible. Since it cannot be 0, it has to be 1.
The second digit should be as small as possible, hence it is 0. This is distinct from 1.
The third digit should be as small as possible, and also distinct from the others. Since it cannot be 0 or 1, it has to be 2.
Thus, the smallest 3-digit number is 102.