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Combinatorics — introduction

A first taste of combinatorics without formulas: systematic listing of options, counting arrangements from a small set, counting combinations with a tree diagram, and counting pairs from n items.

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Available exercises

Arrangements — systematic listing

From a small set (3 or 4 elements), count the number of 3-element arrangements without repetition.

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Choosing pairs

Count how many different pairs you can make from n items.

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Combinations — tree diagram

Count how many different combinations come from two small groups of options. A tree diagram is shown.

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📚 Want to learn more?

  • Combinatorics — grade 7 introduction
  • Arrangements — systematic listing
  • Combinations and the tree diagram

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