Number systems and combinatorial problems

TL;DR

This paper explores how understanding number systems can aid secondary school students and teachers in solving combinatorial problems and proving identities, enhancing mathematical problem-solving skills.

Contribution

It introduces a method leveraging number systems to solve combinatorial problems and prove identities, tailored for secondary education.

Findings

Number systems facilitate solving combinatorial problems.

The method helps in proving combinatorial identities.

Educational approach for secondary students and teachers.

Abstract

The present work has been designed for students in secondary school and their teachers in mathematics. We will show how with the help of our knowledge of number systems we can solve problems from other fields of mathematics for example in combinatorial analysis and most of all when proving some combinatorial identities. To demonstrate discussed in this article method we have chosen several suitable mathematical tasks.