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The Counting Problem of an Order N-group of Set 被引量:1

The Counting Problem of an Order N-group of Set
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摘要 In this paper, we discuss the counting prob lem of an order n-group of set (A 1,A 2,…,A n) which satisfies ∪ni=1A i={a 1,a 2,…,a m} and one of the following: (1) ∩ni=1A i=Φ; (2) ∩ni=1A i={b 1,b 2,…,b k};(3) ∩ni=1A 1{b 1,b 2,…,b k}; (4) A i≠Φ (i=1,2,…,k). We solve these problems by element analytical meth od.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 2003年第3期283-285,共3页 数学季刊(英文版)
关键词 an order n-group of set element analytical meth od COUNTING 计数问题 n有序集组 元素分析法 约束条件
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参考文献5

  • 1GUO Yong-sheng. Generalization and brief proof of a proposition[J]. The Monthly Journal of High School Mathematics, 2000,1 : 37 - 38.
  • 2ZHANG Qing-qi. Solve and generalization of a set problem[J]. The Monthly Journal of High Schoal Mathematics, 2002,5 : 35- 36.
  • 3GONG Hui-bin. A note of a union set proposition[J]. High-School Mathematics, 2002,3:23-24.
  • 4LI Da-yuan. Mathematics competition of senior high school of Shanghai in 2000[J]. High-School Mathernatics, 2001,2:36 - 43.
  • 5TOMESCU I. Problems in Combinatorics and Graph Theory[ M]. New York:John Wiley, 1985.

同被引文献4

  • 1GUO Yong-sheng.Generalization and brief proof of a proposition[J].The Monthly J of High School Mathe,2000,1:37-38.
  • 2GONG Hui-bin.A note of a union set proposition[J].High-School Mathe,2002,3:23-24.
  • 3LI Da-yuan.Mathematics competition of senior high school of Shanghai in 2000[J].High-School Mathe,2001,2:36-37.
  • 4STANLEY R P.Enumerative Combinatorics[M].New York:Cambridge University Press,1999.

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