Permutation Calculator
Enter values to compute.
Result
0
permutations
Understanding the Math
The Permutation Calculator (nPr) computes the result using fundamental principles of mathematics. Calculate the number of ways to arrange objects.
Formula Definition
Result = function f(num){if(num<0)return -1;if(num==0)return 1;return num×f(num-1);} f(n)÷f(n-r)
This formula is applied directly to the inputs provided above. Ensure all units are consistent (e.g., all lengths in meters) before calculation to guarantee accuracy.
Example Problem
Given:
- Total Items (n) = 10
- Selected Items (r) = 14
Solution:
Substitute values into the formula:
Result = fu10ctio10 f(10um){if(10um<0)14etu1410 -1;if(10um==0)14etu1410 1;14etu1410 10um×f(10um-1);} f(10)÷f(10-14)
Quick Notes
- Double-check input units. Inconsistent units (e.g. feet vs meters) will yield incorrect results.
- Calculations are performed with high-precision floating point arithmetic.
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