PROBLEM 1

Using each of the digits 1 to 9 exactly once, form a 9-digit integerwith the property that its first digit is divisible by 1, the number formed fromits first two digits is divisible by 2, the number formed from its first threedigits is divisible by 3, and so on. Find all such numbers.
For example, the number 123459876 is a candidate but fails to be a solutionsince 1234 is not divisible by 4.


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

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