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Enumeration

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MATH
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Enumeration
Combinatorics
MATH 239

Basic Principles of Enumeration

The Essential Ideas

Lists, permutations and subsets

Multisets

Bijective Proofs

Inclusion/Exclusion

The Idea of Generating Series

The Binomial Theorem and Binomial Series

Generating Series

The Sum, Product, and String Lemmas

Compositions

Subsets with Restrictions

Proof of Inclusion/Exclusion

Binary Strings

Regular Expressions and Rational Languages

Unambiguous Expressions

Translation into generating series

Block decompositions

Excluded Substrin