Permutation Calculator

Permutation Calculator


Total number of objects (n):
Sample size (r):


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  • What is Permutation and How is it Calculated?


    What is Permutation?

    Permutation is the mathematical expression of how many different selections can be made when choosing from a set. It is each of the subsets consisting of the same elements but having different sequences.

    How is Permutation Calculated?

    To give an example of permutation calculation, for a cluster with H, E, S, A, P elements, even if the HE subset and the EH subset are composed of the same elements, both are counted as both subset. Combination calculation is the same in these two subsets.
    Permutation calculation formula, P (n, r) = n! / (n-r)! Is.
    When we create the 2-element subsets of the H, E, S set, it will be HE, EH, HS, SH, SE and ES. If we calculate this with the permutation formula, C (3, 2) = 3! / (3 - 2)! The result from this calculation will be 6.

    What Is The Difference Between Permutation And Combination?

    The difference between permutation and combination is the difference of sort logic. For example, HE cluster and EH cluster are separate clusters in permutation logic. But in combination, these two sets are counted as the same set.
    If you want to make a combination calculation click here , and you can click here to see other calculations related to statistics.