This Permutations Calculator will read n (number of objects) and r (sample size) from user, computes the number of possible permutations for given inputs, in a detailed step by step solution.
Inputs
Sample inputs
n: 10 r: 4
n: 5 r: 2
n: 14 r: 10
How to Calculate Number of Permutations?
Follow these steps to calculate the number of permutations to select r number of objects from a total of n number of objects.
Get the value of n (total number of objects), and r (sample size).
The Permutations Formula to get the possible number of permutations to select r number of objects from a total of n number of objects is:
\({{}^{n}P_{r}} = \frac{n!}{(n-r)!}\)
Substitute the values of given n and r in the above formula.
Compute the factorials, and simplify the right hand side value.