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Permutation Formula Calculator

Online permutation: choose m of n distinct elements in order, P(n,m)=n!/(n−m)!.

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P(n,m)=n!/(n−m)!
Total
0≤m≤n

📖 Tutorial | Permutation

1. Definition
Choosing m of n distinct elements and arranging them in order gives P(n,m)=n!/(n−m)!.
2. Formula & Notation
n,mTotal, chosen
3. Properties & Laws
  • Order matters;
  • m=n gives all permutations n!;
  • m=0 gives 1;
  • P(n,m)=C(n,m)·m!.
4. Steps
  1. Enter n,m;
  2. Click "Calculate";
  3. Or click "Load Example".
5. Worked Examples
Example: P(5,3)=5!/2!=60.
6. Common Pitfalls
Ordered;
0≤m≤n;
Denominator (n−m)!.

❓ FAQ | Permutation

Permutation?
Ordered.
Formula?
n!/(n−m)!.
All?
n!.
Vs combination?
Order matters.
Example?
60.
m=0?
1.