Universidade Federal de Viçosa, The Journal of Engineering and Exact Sciences, 6(9), p. 15413-01e, 2023
DOI: 10.18540/jcecvl9iss6pp15413-01e
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A vector space is a group of objects that is closed under finite vector addition and scalar multiplication. This paper discusses a vector space under addition and multiplication of binomial coefficients defined in combinatorial geometric series. The combinatorial geometric series is a geometric series with binomial coefficients that is derived from the multiple summations of geometric series. This idea can enable the scientific researchers to solve the real world problems.