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

• Bonaventura Paolillo ^[1] ; Piermichele Rizzo ^[2] ; Giovanni Vincenz ^[3]
  1. [1] Liceo Scientifico F. SeverI
  2. [2] Liceo Scientifico L. Da Vinci
  3. [3] Universitá di Salerno

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• Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 48, Nº. 6, 2017, págs. 919-928
• Idioma: inglés
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• Resumen

  • 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.