1. Definition
n distinct elements around a circle with rotations identical but reflections distinct give (n−1)!.
3. Properties & Laws
- Rotations same (fix one);
- (n−1)!;
- Necklace also divides by 2;
- Linear arrangements n!.
4. Steps
- Enter n;
- Click "Calculate";
- Or click "Load Example".
5. Worked Examples
Example: 5 around a table: 4!=24 (necklace 12).
6. Common Pitfalls
Minus one (fix a person);
Necklace divide 2;
n≥1.