On a Balanced Property of Compositions

Details On a Balanced Property of Compositions On a Balanced Property of Compositions

2006-09-29

arxiv.org/abs/math/0609845v1

Mathematics

Combinatorics

Scientific paper

Let $S$ be a finite set of positive integers with largest element $m$. Let us randomly select a composition $a$ of the integer $n$ with parts in $S$, and let $m(a)$ be the multiplicity of $m$ as a part of $a$. Let $0\leq r

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