PROBLEM 3

A number with ten digits or less is called autobiographicalif its first digit (from the left) indicates the number of zeros it contains,the second digit the number of ones, and so on. For example 6210001000 isautobiographical.
Find, with explanation, the smallest autobiographical number.

Send your solutions to David Poole, Department of Mathematics, LEC N127-2 or bye-mail to madgp@blaze.trentu.ca.

Solution

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