Lecture: What Is Combinatorics?

Lecture: Building a Tree Diagram

Lecture: Decomposition

Lecture: Addition Rule, The

Lecture: Multiplication Rule, The

Example: Counting Cars

Example: IP Addresses

Example: Social Security Numbers

Example: Multiple Choice Tests

Example: Counting Subsets

Lecture: Factorials

Lecture: Simplifying Factorials

Lecture: Permutations and the Permutation Formula

Lecture: Combinations vs. Permutations

Lecture: Counting Combinations

Example: Calculating Combinations

Example: Calculating Subsets

Example: Forming a Committee 1

Example: Forming a Committee 2

Example: Card Hands

Example: Creating a Ballot

Example: Computer Options

Lecture: Permutations in a Circle

Example: Permutations in a Circle

Example: Groups around a Table

Lecture: Permutations of Identical Objects

Example: Permutations of Identical Objects

Example: Blackjack 1

Example: Blackjack 2

Lecture: A Different Approach

Example: Getting a Straight Flush

Example: Getting Four of a Kind

Example: Getting Three of a Kind

Lecture: A Special Case

Lecture: The Binomial Theorem

Example: Binomial Coefficients 1

Example: Binomial Coefficients 2

Example: Binomial Expansions 1

Example: Binomial Expansions 2

Example: Binomial Expansions 3

Lecture: Pascal's Triangle

Lecture: Sequences

Lecture: Arithmetic Sequences

Example: Arithmetic Sequences 1

Example: Arithmetic Sequences 2

Example: Arithmetic Sequences 3

Lecture: Geometric Sequences

Example: Geometric Sequences 1

Example: Geometric Sequences 2

Example: Geometric Sequences 3

Lecture: Series

Example: Expanding a Series 1

Example: Expanding a Series 2

Lecture: Techniques for Writing a Series

Example: Writing a Summation 1

Example: Writing a Summation 2

Example: Series Formulas 1

Example: Series Formulas 2

Lecture: Arithmetic Series

Example: Arithmetic Series 1

Example: Arithmetic Series 2

Lecture: Geometric Series

Example: Geometric Series 1

Lecture: Infinite Series

Example: Infinite Geometric Series 1

Example: Decimals vs. Fractions 1

Lecture: Approximations with Infinite Series