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.
Cite
@article{arxiv.math/0703444,
title = {A New Version of the Menages Problem},
author = {Ahmad Mahmood Qureshi},
journal= {arXiv preprint arXiv:math/0703444},
year = {2007}
}