---
title: "AFM.AQR.6: Combinatorics Problem Solving (Georgia Mathematics standard)"
code: AFM.AQR.6
cite_as: Georgia Standards of Excellence, Mathematics, AFM.AQR.6
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/AFM.AQR.6
md_url: https://georgiahomeroom.org/standards/code/AFM.AQR.6.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/AFM.AQR.6.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# AFM.AQR.6: Combinatorics Problem Solving

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

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## 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.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.