Number of Unordered Samples of Integers With a Given Sum

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Tsotne Kutalia
Cybernetics Institute of Georgian Technical University

Abstract

There is an analytic formula counting the number of ordered samples of N non-negative integers making up a given sum. In this paper we study the number of unordered samples of N non-negative integers with a given sum. We produce a closed form solution for N = 3 non-negative integers.

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Keywords:
Combinatorics, Number Theory, Graph Theory
Published: Dec 27, 2022
DOI: https://doi.org/10.48614/bara.7.2022.6041

Article Details

How to Cite
Kutalia, T. . (2022). Number of Unordered Samples of Integers With a Given Sum. Business Administration Research Papers, 7. https://doi.org/10.48614/bara.7.2022.6041
Issue
Vol. 7 (2022): Applications of Stochastic Processes and Mathematical Statistics to Financial Economics and Social Sciences VII
Section
Conference Materials
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