Combinatorics · Lesson
If you use all distinct elements and changing the order creates a different outcome, you are counting permutations.
Prerequisites: Factorial
Goal: Recognize problems where all distinct elements are used and order matters, calculating P_n=n!.
Change the data, observe how the number of cases changes, and use the lab to understand the counting structure you are using.
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The first position can be filled by n people, the second by n−1, and so on down to 1.
Data / situation: In how many ways can you line up 6 distinct students?
ConceptStep separates what is required from what is recommended or useful as reinforcement. Only required prerequisites block your progress.
Relationships: solid line = required · dashed line = recommended · dotted line = reinforcement.