J4 ›› 2010, Vol. 45 ›› Issue (12): 12-15.

• Articles • Previous Articles     Next Articles

A generalization of the principle of inclusion-exclusion and its application

TANG Shan-gang   

  1. College of Mathematics & Information, China West Normal University, Nanchong 637002, Sichuan, China
  • Received:2009-11-25 Online:2010-12-16 Published:2011-03-16

Abstract:

A generalization of the weighted principle of inclusion-exclusion called generalized principle of inclusion-exclusion is given. Some applications of the generalized principle of inclusion-exclusion are given on  combinatorial enumerating problems.
 

Key words: weighted finite set; combinatorial analysis; generalized principle of inclusion-exclusion; enumerating problem

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