单词 | Married Couples Problem |
释义 | Married Couples ProblemAlso called the Ménage Problem. In how many ways can ![]() with ![]() ![]() where ![]() The first few values of
Ball, W. W. R. and Coxeter, H. S. M. Mathematical Recreations and Essays, 13th ed. New York: Dover, p. 50, 1987. Dörrie, H. §8 in 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, pp. 27-33, 1965. Halmos, P. R.; Vaughan, H. E. ``The Marriage Problem.'' Amer. J. Math. 72, 214-215, 1950. Lucas, E. Théorie des Nombres. Paris: A. Blanchard, pp. 215 and 491-495, 1979. MacMahon, P. A. Combinatory Analysis, Vol. 1. London: Cambridge University Press, pp. 253-256, 1915. Newman, D. J. ``A Problem in Graph Theory.'' Amer. Math. Monthly 65, 611, 1958. Sloane, N. J. A. SequenceA000179/M2062in ``An On-Line Version of the Encyclopedia of Integer Sequences.''http://www.research.att.com/~njas/sequences/eisonline.html and Sloane, N. J. A. and Plouffe, S.The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995. Touchard, J. ``Sur un problème de permutations.'' C. R. Acad. Sci. Paris 198, 631-633, 1934. Vardi, I. Computational Recreations in Mathematica. Reading, MA: Addison-Wesley, p. 123, 1991. |
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