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Learning Goal

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Use permutations and combinations to compute probabilities

Start lessonBegins with Counting principle and permutations · Slides

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HSS.CP.B.9

**HSS.CP.B.9**: (+) Use permutations and combinations to compute probabilities of compound events and solve problems.

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HSS.CP.B.9: (+) Use permutations and combinations to compute probabilities of compound events and solve problems.

What you'll learn

  1. Apply the Fundamental Counting Principle to count the outcomes of a multi-stage process
  2. Distinguish situations where order matters (permutations) from those where it does not (combinations)
  3. Compute permutations, nPr = n! / (n - r)!, and combinations, nCr = n! / (r!(n - r)!)
  4. Use permutations and combinations to count favorable and total outcomes and compute probabilities of compound events
  5. Solve real-world counting and probability problems, such as lotteries, committees, and arrangements

Slides

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1

Counting principle and permutations

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2

Combinations and probabilities

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Practice

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