Permutations and Combinations


This will add, subtract, multiply, and divide combination and permuation statements. It will follow order of operations but will not recongize parethesis or exponents.

Please enter your expression below:





What are combination and permutation statements?? How do you enter inputs?


In order to enter input, you must provide an expression with combination and permutation statements. For instance, an acceptable input would be 55C17 - 16C5 * 11P4. This would multiply 16 choose 5 and 11 permute 4 before subtracting it all from 55 choose 17

Combinations and permutations are essentially functions that allow you to determine how many ways something may be organized. A simple example of a permutation is the number of ways you could choose a President, Vice President, and Secretary of an 8 person club. This would be 8 permute 3, written commonly and in this calculator as 8P3.

Conversely, an example of a combination could be the number of ways you could choose a 3 person leadership team in the same club where each leadership position is not distinct. Because of this, the permutation example would be greater by a scale factor of 3!.

If you would like information, we would strongly recommend watching the below Khan Academy Video.