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An Indirect Method for Solving Combinatorial Problems

2023/02/20 by Margarita Shevtsova, Alexei Kanel-Belov, Shevtsova, Margarita +3
Computer Science · Mathematics · Social Sciences · #97D30 #97D50 #97K10 #97K20 #FOS: Mathematics #History and Overview (math.HO) #Mathematics Education and Teaching Techniques #Mathematics and Applications #Teaching and Learning Programming

paper · pdf · doi:10.48550/arxiv.2302.09761

openalex publication_date 2023/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article introduces a pedagogical method for \it solving combinatorial problems that frequently involve structures that are unfamiliar or less familiar. Indeed, an indirect method has been proposed in order to evade any possible questions that might obstruct our path to the correct answer and final solution. With this method, the desired configuration can be formulated. This method is effective for solving problems in Olympiads and mathematical competitions as well as for teaching combinations and counting science in the elementary school mathematics curriculum.

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