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Counting Problems: Permutations and Combinations

Discover systematic ways to count arrangements and selections, and use them to solve olympiad-style problems.

Grade 9Math OlympiadMathProbabilityLogicNumber SenseIntermediate50 to 80 min3 materials

What you'll learn

  • Use the multiplication principle
  • Count arrangements and selections
  • Explain why combinations divide by the number of orders

Objective

Find formulas for counting arrangements (permutations) and selections (combinations) by building up from small cases.

STEM concepts

Counting principlesPermutationsCombinationsOrganized lists
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Materials and safety
Step-by-step instructions
Prediction, test sheet and results
Why does it work, challenge and project report

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