International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1185 2020 2020 Department of Mathematical Sciences, Bodoland University, Kokrajhar, INDIA Jili Basumatary Department of Mathematical Sciences, Bodoland University, Kokrajhar, INDIA Bhimraj Basumatary Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco ;Regional Center for the Professions of Education and Training, Casablanca-Settat, Morocco Said Broumi Let X be a finite set having n elements. The formula for giving the number of topologies T(n) is still not obtained. If the number of elements n of a finite set is small, we can compute it by hand. However, the difficulty of finding the number of the topology increases when n becomes large. A topology describes how elements of a set are spatially related to each other, and the same set can have different topologies. Studying this particular area is also a highly valued part of the topology, and this is one of the fascinating and challenging research areas. Note that the explicit formula for finding the number of topologies is undetermined till now, and many researchers are researching this particular area. This paper is towards the formulae for finding the number of neutrosophic clopen topological spaces having two, three, four, and five open sets. In addition, some properties related to formulae are determined. 2022 2022 192 203 10.54216/IJNS.180418 https://www.americaspg.com/articleinfo/21/show/1185