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Here are some solutions to a similar puzzle from a book published in 1908:
Christmas Present Ideas
Seasonal, mathematics-related gifts chosen and recommended by Transum Mathematics
Teacher, do your students have
access to computers?
Here is the URL for a concise version of this page without comments or answers.
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Use the digits zero to nine to make the first ten digits (one at a time!)
Here are the solutions to the extension challenge as published in 'A Scrap-Book of Elementary Mathematics' in 1908: