binomial_coefficient

Evaluates the binomial coefficient.

Synopsis

#include <imsls.h>

float imsls_f_binomial_coefficient (int n, int m)

The type double function is imsls_d_binomial_coefficient.

Required Arguments

int n (Input)
First parameter of the binomial coefficient. Argument n must be nonnegative.

int m (Input)
Second parameter of the binomial coefficient. Argument m must be nonnegative.

Return Value

The binomial coefficient is returned.

Description

The binomial function is defined to be

 

with n ≥ m ≥ 0. Also, n must not be so large that the function overflows.

Example

In this example, is computed and printed.

 

#include <stdio.h>

#include <imsls.h>

 

int main()

{

int n = 9;

int m = 5;

float ans;

 

ans = imsls_f_binomial_coefficient(n, m);

printf("binomial coefficient = %.1f\n", ans);

}

Output

 

 

binomial coefficient = 126.0