This calculator is an essential tool for combinatorics, a field of mathematics that deals with counting and arrangement. It helps you solve problems involving permutations and combinations, which are two fundamental concepts in probability and statistics. The tool is conveniently divided into two tabs: 'Permutation (nPr)' and 'Combination (nCr)'. You should use the 'Permutation (nPr)' tab when the order of the items being arranged matters. A common example is arranging letters in a word or awarding first, second, and third place in a race. To use it, you need to enter the 'Total items (n)', which is the total number of distinct items you have to choose from. Then, you enter the 'Items to choose (r)', which is the number of items you are selecting and arranging. The calculator computes the number of possible ordered arrangements. On the other hand, you should use the 'Combination (nCr)' tab when the order of selection does not matter. An example would be selecting a committee of people from a larger group, where the roles are all the same. Similar to permutations, you enter the total number of items 'n' and the number of items to choose 'r'. The calculator will then compute the number of possible unique groups, regardless of the order they were selected in. This tool is invaluable for students of statistics and anyone needing to calculate the number of possible outcomes in a given scenario.

Permutation & Combination