Permutations and Combinations

Overview

“Does order matter?” This single question causes endless headache and woe for student and teacher alike when forced to think in the paradigm of permutations and combinations. My advice: Don’t think that way! Here’s how to naturally and easily understand and do combinations and permutations without ever doing them!

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Lessons

1.0 The Approach in a Nutshellarrow
1.1 Three Different Problems that are actually the Same!arrow
2.0 The Four Steps to Understanding Everything!arrow
2.1 STEP ONE: The Multiplication Principlearrow
2.2 STEP TWO: Word Gamesarrow
2.3 Aside: Making Sense of 0!arrow
2.4 Aside: Leonhard Euler and Factorialsarrow
2.5 STEP THREE: The Labeling Principlearrow
2.6 Putting the Labeling Principle to Usearrow
2.7 Aside: If you are curious about “Permutations and Combinations”arrow
2.8 STEP FOUR: Multiplication and Labeling Togetherarrow
2.9 Extra: Fun with Poker Handsarrow
3.0 Pascal’s Trianglearrow
3.1 A Grid of Numbersarrow
3.2 The Stocking Propertyarrow
3.3 Pascal’s Trianglearrow
3.4 More Patternsarrow
3.5 The Binomial Theoremarrow
3.6 Lots of Practicearrow
3.7 Yet More Practicearrow
3.8 Still Yet More Practice!arrow
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Resources

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Books

Take your understanding to the next level with easy to understand books by James Tanton.

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Guides & Solutions

Dive deeper into key topics through detailed, easy to follow guides and solution sets.

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