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Combinatorics is a branch of mathematics dealing with counting, arrangement, and combination of objects. It involves the study of discrete structures and their properties, such as sets, graphs, permutations, and combinations. In the hierarchy of Science/Mathematics/Geometry, combinatorics can be seen as an application of abstract mathematical concepts to concrete problems in geometry. For instance, it can be used to calculate the number of ways that points can be connected by lines or curves, or the number of distinct configurations that a set of objects can take when arranged in space. Combinatorics thus provides a powerful tool for understanding and analyzing geometric structures, and helps to shed light on their underlying patterns and symmetries.