A generalization of Chu-Vandermonde's Identity
Seyed Saeed Naghibi, Mohsen Hooshmand
TL;DR
This paper introduces a generalized form of Vandermonde's identity, providing a new proof and applying it to solve a classic probability problem with an alternative approach.
Contribution
It presents a new generalized version of Vandermonde's identity and demonstrates its application to a well-known probability problem.
Findings
Successfully generalized Vandermonde's identity
Provided an alternative proof for a classic probability problem
Enhanced understanding of combinatorial identities
Abstract
We present and prove a general form of Vandermonde's identity and use it as an alternative solution to a classic probability problem.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Polynomial and algebraic computation · Mathematics and Applications