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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
  • Localización: International journal of mathematical education in science and technology, ISSN 0020-739X, Vol. 48, Nº. 6, 2017, págs. 919-928
  • Idioma: inglés
  • DOI: 10.1080/0020739x.2016.1276229
  • Texto completo no disponible (Saber más ...)
  • 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.


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