Permutation and Combination Calculator
Instantly calculate permutations and combinations for given values of n and r.
Formula: nPr = n! / (n-r)!
Formula: nCr = n! / (r! * (n-r)!)
Common Conversions
Permutations
| n=5, r=3 | 60 |
| n=6, r=2 | 30 |
Combinations
| n=5, r=3 | 10 |
| n=6, r=2 | 15 |
About
This tool helps you calculate permutations and combinations, which are fundamental concepts in combinatorics and probability theory. A permutation refers to the arrangement of objects in a specific order, while a combination refers to the selection of objects without regard to order.
To use this tool, simply input the values of n (total number of items) and r (number of items to choose) into the respective fields. The tool will instantly calculate the permutations and combinations, allowing you to easily determine the number of possible arrangements or selections.
Permutations and combinations are widely used in various fields such as mathematics, statistics, computer science, and everyday problem-solving. Whether you're organizing a dinner party or analyzing data sets, understanding these concepts can provide valuable insights.