Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
 noun Combinatorial mathematics.
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun mathematics a branch of mathematics that studies (usually
finite ) collections of objects that satisfy specifiedcriteria
Etymologies
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Examples

President of Orange High's Mock Trial team, copresident of the Science Olympiad team and an officer of the debate team and Model United Nations club, Daniel proved the ChanRobbinsYuen Theorem, a theorem in combinatorics, described as the mathematics of counting.

Mathematicians and computer scientists, especially those who work in areas such as combinatorics and graph theory, often encounter sequences of numbers and need to know just what they represent.
An Important AT&T Legacy Finds a New Home « Steve Wildstrom on Tech

Ned’s a worldrenowned expert in something called combinatorics, which makes him a combinatorist.

Ned’s a worldrenowned expert in something called combinatorics, which makes him a combinatorist.

We learn that the novel is organized according to a kind of combinatorics of phenomena.

One addresses the concept of absolute infinity; the other, combinatorics, a segment of math that plays a role in statistical physics and modern computing.

Kaplan is banking  literally  that you'll freak out because you've never even heard the word combinatorics.

Kaplan is banking  literally  that you'll freak out because you've never even heard the word combinatorics.

You'll get some marketing spiel and then be thrown right into some brutally hard combinatorics questions.

You'll get some marketing spiel and then be thrown right into some brutally hard combinatorics questions.
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