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Counting and Permutations

by Anonymous

Fill the spots one by one, multiplying the choices that remain, and count the leaves of the tree diagram to confirm the multiplication rule and n!.

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About this app

Counting and Permutations is an interactive mathematics learning app about permutations and the multiplication principle. Adjust the number of items, seats, or people, then explore how multiplying the remaining choices produces the total number of arrangements. Three visual activities connect seat-filling, branching trees, and factorial notation such as n!.

Use cases

  • High school students studying permutations and counting
  • Teachers demonstrating the multiplication principle visually
  • Learners practicing arrangement and line-up problems
  • Probability and statistics review sessions

Features

  • Interactive controls for changing item, seat, and people counts
  • Step-by-step seat-filling activity using decreasing choices
  • Branching tree visualization with countable leaves
  • Factorial activity for arranging everyone in a line
  • Guided missions with target totals such as 6, 24, and 720