A New Version of the Menages Problem

Mathematics – Combinatorics

Scientific paper

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Scientific paper

The probleme des menages (married couples problem) introduced by E.Lucas in 1891 is a classical problem that asks the number of ways to arrange n married couples around a circular table, so that husbands and wives are in alternate places but no couple is seated together. In this paper we present a new version of the Menage Problem that carries the constraints consistent with the Muslim culture.

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