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Georgia standard · Mathematics

`AFM.AQR.6`Combinatorics Problem Solving

Calculate and solve combinatorics problems to make sense of a real-life, contextual problem.

Appears in: Mathematics, High School

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Expectations

Calculate the probability of events.
- AFM.AQR.6.1
  Use the addition rule to count the number of outcomes in a disjoint set of sample spaces. Use the principle of inclusion-exclusion to count the number of outcomes in the union of sample spaces.
- AFM.AQR.6.2
  Apply the axioms of probability to determine the probability of dependent and independent events, including use of the multiplication rule for independent events.
- AFM.AQR.6.3
  Find expected value.
- AFM.AQR.6.4
  Apply Bayes’ Theorem to determine conditional probability.
Use methods of counting to solve problems involving permutations and combinations.
- AFM.AQR.6.5
  Calculate the number of permutations of a set with n elements. Calculate the number of permutations of r elements taken from a set of n elements.
- AFM.AQR.6.6
  Calculate the number of subsets of size r that can be chosen from a set of n elements.
- AFM.AQR.6.7
  Calculate the number of combinations with repetitions of r elements from a set of n elements
Prove statements involving combinatorics.
- AFM.AQR.6.8
  Prove combinatorial identities.
- AFM.AQR.6.9
  Apply a combinatorial argument to prove the binomial theorem.
- AFM.AQR.6.10
  Use the pigeonhole principle to prove statements about counting.

Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

AFM.AQR.6: Combinatorics Problem Solving | Georgia Mathematics Standard | Georgia Homeroom