Permutation and Combination Calculator
Use this permutation and combination calculator when you need to count arrangements or selections in probability and statistics problems.
Enter n items and r picks to get both the permutation and combination result.
That makes it useful for classroom problems involving committees, seating orders, and event outcomes.
The page uses standard U.S.
Assumptions
- The calculator rounds n and r down to whole numbers.
- If r is greater than n, both results are shown as 0.
- Permutations count order, while combinations ignore order.
How this calculator works
Formula used
Permutations use nPr = n! / (n - r)! and combinations use nCr = n! / [r!(n - r)!].
Example calculation
If you choose 3 students from 10, there are 720 permutations but 120 combinations.
Permutation and Combination Calculator FAQ
Is this permutation and combination calculator exact?
It is designed as a practical estimate or classroom calculator for permutation and combination calculator. Results can differ if your teacher, textbook, software, or engineering workflow uses different assumptions, notation, or precision.
Who should use this permutation and combination calculator?
Students, parents, teachers, and everyday users can use it for homework checks, class review, exam prep, and quick planning calculations on a desktop or phone.
Does this replace official coursework, lab software, or professional tools?
No. These pages are educational calculators for learning and general use. For graded work, lab reports, engineering decisions, or research, verify the result with your course method or professional software.