Henry Ernest Dudeney/Modern Puzzles/64 - Dividing by Eleven
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Modern Puzzles by Henry Ernest Dudeney: $64$
- Dividing by Eleven
- If the $9$ digits are written at haphazard in any order,
- for example $4 \ 1 \ 2 \ 5 \ 3 \ 9 \ 7 \ 6 \ 8$, what are the chances that the number that happens to be produced will be divisible by $11$ without remainder?
- The number I have written at random is not, I see, so divisible, but if I had happened to make the $1$ and the $8$ change places it would be.
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Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $64$. -- Dividing by Eleven
- 1968: Henry Ernest Dudeney: 536 Puzzles & Curious Problems ... (previous) ... (next): Arithmetical and Algebraical Problems: Digital Puzzles: $115$. Dividing by Eleven