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|Dave Rusin; The Mathematical Atlas|
|A short article designed to provide an introduction to combinatorics, loosely the science of counting, studying families of sets (usually finite) with certain characteristic arrangements of their elements or subsets, and asking what combinations are possible, and how many there are. This includes a number of quite elementary topics, such as enumerating all possible permutations or combinations of a finite set. Because of the approachable nature of the subject, combinatorics is often presented with other fields (elementary probability, elementary number theory, and so on) to the exclusion of the more significant aspects of the subject. These include more sophisticated methods of counting sets... History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus.|
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