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Permutations with Repetition Calculator

Online repetition permutation: n choices for each of m ordered positions gives n^m.

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n^m
n per position
Positions

📖 Tutorial | Repetition Perm

1. Definition
Choosing m ordered items from n types with replacement gives n^m (n choices per position).
2. Formula & Notation
n,mChoices, positions
3. Properties & Laws
  • Repeats allowed;
  • Ordered;
  • n·n·…·n=n^m;
  • Typical: codes and passwords.
4. Steps
  1. Enter n,m;
  2. Click "Calculate";
  3. Or click "Load Example".
5. Worked Examples
Example: three digits, 10 each: 10³=1000.
6. Common Pitfalls
Repeats;
Ordered;
n is the number of types.

❓ FAQ | Repetition Perm

Formula?
n^m.
Vs permutation?
Repeats.
Typical?
Codes.
Ordered?
Yes.
Example?
1000.
m=0?
1.