J4 ›› 2011, Vol. 46 ›› Issue (12): 70-75.

• Articles • Previous Articles     Next Articles

A generalization of principle of inclusion-exclusion and its application(Ⅱ)

TANG Shan-gang   

  1. College of Mathematics and Information, China West Normal University, Nanchong 637002, Sichuan, China
  • Received:2010-11-09 Online:2011-12-20 Published:2011-12-24

Abstract:

The principle of inclusion-exclusion is extended to the general restricted conditions on a weighted finite set, a weighted generalization of principle of inclusion-exclusion is given. Some applications of generalized principle of inclusion-exclusion are given on the combinatorial enumeration.

Key words:  weighted finite set; generalized principle of inclusion-exclusion; combinatorial enumeration

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