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Problem: The Round Table

Seat the same n persons at a round table on \frac{(n - 1)(n - 2)}2

occasions so that no person shall ever have the same two neighbors twice. This is, of course, equivalent to saying that every person must sit once, and once only, between every possible pair.

Solutions: 1


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References

Project Gutenberg

  1. Dudeney, H. E.: "Amusements in Mathematics", The Authors' Club, 1917

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