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combinatorics Line breaks: com¦bina|tor¦ics
Pronunciation: /ˌkɒmbɪnəˈtɒrɪks/

Definition of combinatorics in English:

plural noun

[treated as singular]
The branch of mathematics dealing with combinations of objects belonging to a finite set in accordance with certain constraints, such as those of graph theory.
Example sentences
  • Generating functions have numerous applications in mathematics, especially in combinatorics, probability theory, statistics, the theory of Markov chains, and number theory.
  • His early works range over number theory, statistics, combinatorics, game theory, as well as his principal interest of commutative algebra.
  • The problems which attracted him most were problems in combinatorics, graph theory, and number theory.


1940s: from combinatorial (see combination), influenced by German Kombinatorik.

Definition of combinatorics in:
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