Repeated and Circular Permutations
by Anonymous
Rearrange items by hand to compare permutations with repetition, circular permutations, and permutations with repeated letters, and see how the counting rule changes.
#math#repetition#circular#highschool#permutation#probabilitystatistics#mathpractice#highschool_math#education
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About this app
An interactive high-school combinatorics app for comparing repeated permutations, circular permutations, and permutations with identical items. Adjust the number of kinds, seats, people, or repeated letters to see how the arrangement count changes, with visual explanations and guided missions.
Use cases
- High-school students studying permutations and probability
- Teachers demonstrating counting principles in class
- Learners comparing n^r, (n-1)!, and repeated-item permutation formulas
- Practice with guided arrangement-counting missions
Features
- Interactive repeated-permutation model with adjustable kinds n and seats r
- Circular seating model with table rotation and adjustable number of people
- Identical-letter arrangement model with adjustable counts of A and B
- Live formulas, arrangement counts, and visual diagrams
- Guided missions with reset, next, and completion feedback