An application of probability to combinatorics: a proof of Vandermonde identity.

Authors :: Paolillo, Bonaventura
Rizzo, Piermichele
Vincenzi, Giovanni
Source :: International Journal of Mathematical Education in Science & Technology. Sep2017, Vol. 48 Issue 6, p919-928. 10p.
Publication Year :: 2017
Abstract: In this paper, we give possible suggestions for a classroom lesson about an application of probability using basic mathematical notions. We will approach to some combinatoric results without using ‘induction’, ‘polynomial identities’ nor ‘generating functions’, and will give a proof of the ‘Vandermonde Identity’ using elementary notions of probability. [ABSTRACT FROM AUTHOR]

Subjects :: *VANDERMONDE matrices
*COMBINATORICS
*PROBABILITY in quantum mechanics
*CURVILINEAR coordinates
*LAMMA language

Language :: English
ISSN :: 0020739X
Volume :: 48
Issue :: 6
Database :: Academic Search Index
Journal :: International Journal of Mathematical Education in Science & Technology
Publication Type :: Academic Journal
Accession number :: 123450929
Full Text :: https://doi.org/10.1080/0020739X.2016.1276229

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