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Also known as combinatorial analysis, combinatorial mathematics, combinatorial theory

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science.

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Combinatorics is the branch of mathematics focused on counting things and understanding the properties of finite collections—tools that turn out to be surprisingly useful across many fields. It matters because these counting techniques help solve practical problems in areas as varied as computer science, biology, physics, and logic.

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