Binomial Coefficient Calculator

Calculator and formula for the binomial coefficient

Binomial Coefficient Calculator


This function calculates the binomial coefficient. The binomial coefficient is a mathematical function that can be used to solve one of the basic problems in combinatorics. It indicates how many different ways one can select k objects from a set of n different objects.

To calculate, enter the values for the number of combinations k and the number of elements n. Then click the 'Calculate' button.


Binomial Coefficient Calculator

 Input
Elements n
Combinations k
Decimal places
  Result

Binomial coefficient formula

\(\displaystyle \left[\matrix{n\\k} \right]= \frac{n!}{k! \cdot(n-k)!}\)
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