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Lecture Notes: Counting

Preliminaries

Course Content

Tuesday Preview

Question: How many different burgers are possible?

Answer: 3326=1728 possible burgers.

Thursday Review

Motivation

Definition

Theorems

Some Challenging Cases

Permutations

Cyclically Equivalent

Omitted due to time.

Multisets

Permutations of Subsets

The following material is from Chapter 23: Counting Subsets.

Combinations

Partitioning Labeled Subsets

Omitted For Time

The rest of Chapter 23 covers: