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 .

广义的组合数学（英語： Combinatorics ）相当于离散数学，狭义的组合数学是组合计数、图论、代数结构、数理逻辑等的总称。但这只是不同学者在叫法上的区别。

组合数学（Combinatorial mathematics），又称为离散数学。 广义的组合数学就是离散数学，狭义的组合数学是离散数学除图论、代数结构、数理逻辑等的部分。

Combinatorics is about..... derivining properties of structures satisfying given conditions without analyzing each and every possible case separately. Analyzing, deriving and counting common properties of structures satisfying given con-ditions can in principle be quite challenging and require a non trivial amount of focus and concentration.

combinatorial and discrete mathematics. The text covers enumeration, graphs, sets, and methods, and it includes both classical results and more recent developments. Assuming no prior exposure to combinatorics, it explains the basic material for graduate-level stu-dents in mathematics and computer science. Optional more advanced material makes it

Combinatorics is the mathematics of counting and arranging. Of course, most people know how to count, but combinatorics applies mathematical operations to count quantities that are much too large to be counted the conventional way. Combinatorics is especially useful in computer science.

Combinatorics involves the general study of discrete objects. Reasoning about such objects occurs throughout mathematics and science. For example, major biological problems involving decoding the genome and phylogenetic trees are largely combinatorial.

The Stanford Mathematics department is a leader in combinatorics, with particular strengths in probabilistic combinatorics, extremal combinatorics, algebraic combinatorics, additive combinatorics, combinatorial geometry, and applications to computer science.

2024年12月26日 · Combinatorics, the field of mathematics concerned with problems of selection, arrangement, and operation within a finite or discrete system. Included is the closely related area of combinatorial geometry. One of the basic problems of combinatorics is to determine the number of possible

2025年1月31日 · Combinatorics is the branch of mathematics studying the enumeration, combination, and permutation of sets of elements and the mathematical relations that characterize their properties. Mathematicians sometimes use the term "combinatorics" to refer to a larger subset of discrete mathematics that includes graph theory.