A Direct Combinatorial Proof of a Positivity Result

J. Gillis, D. Zeilberger

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

Objects lying in four different boxes are rearranged in such a way that the number of objects in each box stays the same. Askey, Ismail, and Koornwinder proved that the cardinality of the set of rearrangements for which the number of objects changing boxes is even exceeds the cardinality of the set of rearrangements for which that number is odd. We give a simple counting proof of this fact.

Original languageEnglish (US)
Pages (from-to)221-223
Number of pages3
JournalEuropean Journal of Combinatorics
Volume4
Issue number3
DOIs
StatePublished - Jan 1 1983
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics

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