Curated OER
Math Club #4: Combinatorics
In this combinatorics worksheet, 8th graders work in a group to solve 5 problems finding the total number of combinations in a situation.
Curated OER
From Probability to Combinatorics and Number Theory
Students see how division is used to help solve probability problems. They use tables as data structures where they are used to count outcomes and to compute probabilities. Students use games to help solve probability problems.
Massachusetts Institute of Technology
Mit: Open Course Ware: Introduction to Probability and Statistics
The online course consists of educational materials about probability and statistics. Lecture notes, exams, and assignments are included.
Annenberg Foundation
Annenberg Learner: Mathematics Illuminated: Combinatorics Counts
Video presentation on combinatorics, or the "mathematics of counting complicated configurations." Offers several examples of combinatorics as used in real world situations and professions. [28:26]
Brown University
Brown University: Seeing Theory
This resource provides interactive visualizations of probability concepts. Covers basic probability, compound probability, probability distributions, frequentist inference, Bayesian inference, and regression analysis. The authors are...
University of St. Andrews (UK)
University of St. Andrews: Gaspard Monge
This University of St. Andrews page offers an excellent biography on Gaspard Monge, a French mathematician and diversified scientist (1746-1818.) Discusses his life and his contributions to these fields.
Wolfram Research
Wolfram Math World: Transpositions
Page briefly discusses transposition, which is "an exchange of two elements of an ordered list with all others staying the same." Provides a definition, examples, and a bibliography.
University of Regina (Canada)
University of Regina: Math Central: Thoughts on Teaching Perm. And Combin.
An article written for teachers with recommendations on how to present permutations, combinations, and the binomial theorem to students. It contains both useful suggestions about order of presentation and many class examples. A good...
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: The Fundamental Counting Principle
Contains a tutorial on the fundamental counting principle that includes many examples and sample problems.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Permutations
You'll learn how to use permutations when solving a counting problem involving order. This tutorial offers definitions, example problems with step-by-step solutions, and practice exercises for you to complete and check.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Combinations
Learn how to use combinations when solving counting problems involving groups. This tutorial offers a good definition of combination, several example problems and step-by-step solutions, and practice exercises for you to complete and check.
CK-12 Foundation
Ck 12: Probability: Combinations Grade 8
[Free Registration/Login may be required to access all resource tools.] Recognize combinations in situations where order does not matter.
Mathigon
Mathigon: Mathematical Treasure Hunt
The mathematical treasure hunt allows students to follow a trail of clues and mathematical problems around the school site; each clue contains a hint to where the next clue is hidden.
Mathigon
Mathigon: Mathematical Treasure Hunt
The mathematical treasure hunt allows students to follow a trail of clues and mathematical problems around the school site; each clue contains a hint to where the next clue is hidden.
Cool Math
Coolmath: Fast Counting (The Counting Principle)
A tutorial on combinatorics methods of fast counting.
Cool Math
Coolmath: Combinations
This algebra lesson explains combinations - how to count how many ways n objects can be chosen r at a time.
University of Victoria (Canada)
Amof: Amazing Mathematical Object Factory
The Amazing Mathematical Object Factory allows you to review many combinatorial objects by producing lists of mathematical objects. This game helps make discrete mathematics more accessible. Combinatorial objects are studied in discrete...
Mathigon
Mathigon: Combinatorics: World of Math
This lesson focuses on Combinatorics, a branch of mathematics which is about counting. It includes 5 sections: Factorials, Permutations, Combinations, Combinatorics and Pascal's Triangle, and Combinatorics and Probability with examples...
Cool Math
Coolmath: Permutations
This CoolMath resource will help students understand the concept of "permutations" in
Khan Academy
Khan Academy: Start: Welcome to Crowds!
Welcome to Crowds: In this topic we'll explore how swarms of robots were created for WALL-E using combinatorics. Two lessons: Building Crowds, grades 4-7 and Counting Crowds, grades 9-12.
Khan Academy
Khan Academy: Counting Two Headed Robots (Practice)
This is a 7-problem quiz/practice counting robot combinations with multiple parts.
Khan Academy
Khan Academy: Hands on Activity
This is a hands on activity asks students to design and build a certain number dinosaur parts in order to create a crowd of a given size. Apply combinatorics to design your own crowd of dinosaurs. Click on First Lesson before you begin...
Khan Academy
Khan Academy: Counting Casts 1
This is a 7-problem quiz/practice, Using the interactive tool, determine how many different casts are possible.
Khan Academy
Khan Academy: Counting Casts 2
In this 7-problem quiz/practice, using the numbers given, students must determine how many different ways can you cast this scene.