BinomialCoefficient (Apache Commons Numbers Combinatorics 1.2 API)

java.lang.Object
- org.apache.commons.numbers.combinatorics.BinomialCoefficient

```
public final class BinomialCoefficient
extends Object
```
Representation of the binomial coefficient. It is "n choose k", the number of k-element subsets that can be selected from an n-element set.

- Method Summary
  
  All Methods Static Methods Concrete Methods
  Modifier and Type Method Description
  
  static long value(int n, int k)
  Computes the binomial coefficient.
  - Methods inherited from class java.lang.Object
    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

- Method Detail
  - value
```
public static long value(int n,
                         int k)
```
    Computes the binomial coefficient.
    The largest value of n for which all coefficients can fit into a long is 66. Larger n may result in an ArithmeticException depending on the value of k.
    Any min(k, n - k) >= 34 cannot fit into a long and will result in an ArithmeticException.
    
    Parameters:
    
    n - Size of the set.
    
    k - Size of the subsets to be counted.
    
    Returns:
    
    n choose k.
    
    Throws:
    
    IllegalArgumentException - if n < 0, k < 0 or k > n.
    
    ArithmeticException - if the result is too large to be represented by a long.