Combination Calculator
Enter values to compute.
Result
0
combinations
Understanding the Math
The Combination Calculator (nCr) computes the result using fundamental principles of mathematics. Calculate the number of ways to choose 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(r)×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) = 11
- Selected Items (r) = 8
Solution:
Substitute values into the formula:
Result = fu11ctio11 f(11um){if(11um<0)8etu811 -1;if(11um==0)8etu811 1;8etu811 11um×f(11um-1);} f(11)÷(f(8)×f(11-8))
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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