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Christmas combinatorics

Summary:
Yours truly has invited five of his colleagues to share a Christmas lunch with him around the circular dinner table in his kitchen. Unfortunately, two of the colleagues are not on speaking terms with each other, so they cannot be seated together. In how many ways can we be seated around the table?

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Combinatorics in .NET - Part I - Permutations, Combinations & Variations –  try { } catch { } meYours truly has invited five of his colleagues to share a Christmas lunch with him around the circular dinner table in his kitchen. Unfortunately, two of the colleagues are not on speaking terms with each other, so they cannot be seated together. In how many ways can we be seated around the table?

Lars Pålsson Syll
Professor at Malmö University. Primary research interest - the philosophy, history and methodology of economics.

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