On the ''problème des ménages''
type: Item
instance of: scholarly article
title: On the ''problème des ménages''
zbMATH Open document ID: 0476.05003
DOI: 10.1016/S0012-365X(81)80024-6
published in: Discrete Mathematics
publication date: 1981-01-01T00:00:00Z
review text: The classical ``problème des ménages'' is altered in the following way: the \(n\) women take alternate seats and the \(n\) men choose the remaining seats at random such that all possible sitting arrangements are equally probable. The joint distribution of the random variables \(\xi_n\), the number of men sitting at the right-hand side of their wives, and \(\eta_n\), the number of men sitting at the left-hand side of their wives, is calculated for \(n= 1,2, \ldots\). One finds also a lot of references related to this subject.
reviewed by: Walter Schlee
Mathematics Subject Classification ID: 05A05
Mathematics Subject Classification ID: 62E15
Mathematics Subject Classification ID: 90B35
zbMATH DE Number: 3747122
zbMATH Keywords: marriage problem
zbMATH Keywords: joint distribution of random variables
author: Lajos Takács
MaRDI profile type: Publication
cites work: Q5534179
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full work available at URL: s0012-365x(81)80024-6
OpenAlex ID: W2025515225
description: scientific article; zbMATH DE number 3747122