Permutation vs Combination (original) (raw)
Last Updated : 8 Jun, 2026
Permutation and Combination are the most fundamental concepts in mathematics related to picking items from a group or set.
- Permutation is the arrangement of items in which the order of selection matters.
- Combination is selecting items without considering order.
The key differences between Permutation and Combination are as follows:
| **Feature | **Permutation | **Combination |
|---|---|---|
| **Definition | Arrangement of objects in a specific order. | Selection of objects without regard to order. |
| **Formula | \text{P(n, r)} = \frac{n!}{(n - r)!} | \text{C(n, r)} = \frac{n!}{r!(n - r)!} |
| **Order | Order is important. | Oder does not hold any relevance. |
| **Example | Arranging 3 books in a shelf. | Choosing 3 books from a pile. |