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Math 239: Intro to combinatorics and optimization

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Lists
The list of a set S is a list of the elements of S exactly once each, in some order.
Example:
S = {dog, 2, z}
All of the lists that can be generated from S are
dog,2,z 2,dog,z z,dog,2
dog,z,2 2,z,dog z,2,dog
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Permutation
A permutation is a list of the set {1, 2, ....., n} for some n belongs to N
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Partial Lists
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Injection
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Surjection
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Bijection
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n Choose k
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If there is a bijection between A and B, then mod(A) = mode(B)
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Multiset
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Permutations
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Combinations
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Theorem 1.9
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Power Series
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Binomial theorem
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Generating series
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Negative Binomials
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Negative Binomial Theorem
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Coefficient extraction
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Generating series with respect to 'w’

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