Calculator
Result
Answer will appear hereEnter the values above and press Calculate to see the answer, step-by-step solution, and formula used.
How the result is calculated
n!, nPr, and nCr
Factorial Permutation Combination Calculator
Use this calculator to calculate factorial permutation combination using a clear formula and simple inputs.
Explanation
What this calculator does
Factorial Permutation Combination Calculator helps you calculate the result using clear inputs, a formula, and practical examples.
How LearnLinx Calculates This Result
Formula
n!, nPr, and nCr
Enter your values and press Calculate to see each computation step with your numbers plugged into this formula.
Example
Enter your values, calculate the result, and review the formula used for the answer.
When to use it
Use it when you need a quick result for study, planning, documentation, or checking a manual calculation.
Common mistakes
- Setting r greater than n for nPr/nCr.
- Using non-integers.
- Asking for factorials above 170.
Frequently asked questions
Why is n capped at 170?
Factorials grow extremely fast; 170! is near the limit of ordinary floating-point range.
What is the difference between nPr and nCr?
nPr counts ordered arrangements; nCr counts unordered selections.
What formula does the Factorial Permutation Combination Calculator use?
It uses: n!, nPr, and nCr. The result page also shows a step-by-step breakdown of how your answer was calculated.
Is the Factorial Permutation Combination Calculator free to use?
Yes. All LearnLinx calculators are completely free with no signup required. Signing in is optional and only adds a 60-day history of your calculations.