CI Permutation calculator

This calculator determines the number of permutations for a given set of distinct objects. It is designed for students, teachers, and professionals who need to count possible ordered arrangements without repetition. Simply enter the total number of objects (n) and the sample size (r), and the tool returns the number of ways to arrange r items in a specific order.

• Instant permutation calculation: Enter n and r to get the result using the formula n! / (n-r)!. The tool handles any positive integer values.
• Clear explanation of results: Alongside the numeric answer, the calculator explains the underlying counting principle, showing how the result is derived.
• Related examples: The tool includes worked examples, such as arranging runners on a track or selecting medalists, to illustrate real-world applications.
• Comparison with combinations: The content distinguishes permutations (order matters) from combinations (order does not matter), helping users choose the correct method.
• No repetition assumed: The calculator calculates permutations without repetition, which is the standard case for most counting problems.