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Counting, permutations, and combinations

This course contains 4 segments:

Counting principle and factorial

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This course contains 4 segments:

Counting principle and factorial

The counting principal tells us that we can multiply the number of choices together to get a count of the total possible outcomes. If you own two pairs of pants and three shirts, then you have six possible outfits.

Permutations

Permutations count how many ways you can select and arrange items or people from a larger group. For example, how many different ways can we award a gold, silver, and bronze medal to three runners out of a group of 10?

Combinations

Combinations are similar to permutations. Combinations count how many ways we can pick a group of people or things from a larger group where order doesn't matter. For example, how many different groups of 3 people can a company with 10 employees send on a business trip?

Combinatorics and probability

Once we understand the counting principle, permutations, and combinations, we can use those concepts to calculate some pretty advanced probabilities!

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Time
2 hours
Via
Khan Academy
This course belongs to a collection called Statistics and probability. It's comprised of 16 courses:
  1. Probability
  2. Counting, permutations, and combinations (viewing)
  3. Random variables
  4. Sampling distributions
  5. Confidence intervals
  6. Significance tests (hypothesis testing)
  7. Two-sample inference for the difference between groups
  8. Inference for categorical data (chi-square tests)
  9. Advanced regression (inference and transforming)
  10. Analysis of variance (ANOVA)
  11. Displaying and comparing quantitative data
  12. Analyzing categorical data
  13. Summarizing quantitative data
  14. Modeling data distributions
  15. Exploring bivariate numerical data
  16. Study design
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