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Some combinatorics of multisets
Authors:D. Singh  J. N. Singh
Affiliation:1. Professor of Pure Mathematics Mathematics Department Faculty of Science Ahmadu Bello University Zaria Nigeria mathdss@yahoo.com;2. Department of Mathematics and Computer Science Barry University 11300 Northeast second Avenue Miami Shores FL 33161 USA jsingh@mail.barry.edu singh_j_n@hotmail.com
Abstract:The purpose of this paper is to delineate some insights into the concept of multisets along with a couple of combinatorial results related to multisets. The paper indicates that a general formula needs to be worked out for determining the cardinality of the ‘Set’ (whose elements may be multisets but do not repeat) of all multisubsets of a finite multiset [x, y, z,…] m , p , t , … in which x occurs at most m times, y occurs at most p times, and so on. It outlines some directions provided in the literature and points out that they all turn out to be inefficient. Finally, a relatively more efficient formula to this effect is provided along with a remark that the problem needs further vindication.
Keywords:
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