The inclusion and exclusion principle in view of number theory

Authors

  • Viliam Ďuriš Department of Mathematics Faculty of Natural Sciences Constantine The Philosopher University in Nitra http://orcid.org/0000-0003-2653-6906 (unauthenticated)
  • Tomáš Lengyelfalusy Department of Didactics Technology and Educational Technologies DTI University Sládkovičova 533/20, 018 41 Dubnica nad Váhom

DOI:

https://doi.org/10.23755/rm.v36i1.465

Keywords:

inclusion, exclusion, number theory, combinatorics, Matlab

Abstract

The inclusion and exclusion (connection and disconnection) principle is mainly known from combinatorics in solving the combinatorial problem of calculating all permutations of a finite set or other combinatorial problems. Finite sets and Venn diagrams are the standard method of teaching this principle. The paper presents an alternative approach to teaching the inclusion and exclusion principle from the number theory point of view, while presenting several selected application tasks and possible principle implementation into the Matlab computing environment.

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Published

2019-06-30

Issue

Section

Volume 36-2019