Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Version of the Menages Problem   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.

20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int