PHP - gmp_binomial() Function

Definition and Usage

The gmp_binomial() function calculates the binomial coefficient .

Description

gmp_binomial() calculates binomial coefficient given as C(n, k) .

Syntax

gmp_binomial ( mixed $num1 , int $k ) : GMP

Parameters

Return Values

PHP gmp_binomial() function returns a GMP number that is a binomial coefficient.

PHP Version

This function will work from PHP Version greater than 7.3.0.

Example 1

Working of gmp_and −

<?php
   $num1 = gmp_binomial('4',2);
   echo "The binomial coefficient of (4,2) is ".$num1;
   echo "<br/><br/>";
   $num2 = gmp_binomial('5',2);
   echo "The binomial coefficient of (5, 2) is ".$num2;
?>

This will produce following result −

The binomial coefficient of (4,2) is 6
The binomial coefficient of (5, 2) is 10

Example 2

Using GMP numbers −

<?php
   $num1 = gmp_init(4);
   $num2 = gmp_binomial($num1,2);
   echo "The binomial coefficient of (4,2) is ".$num2;
?>

This will produce following result −

The binomial coefficient of (4,2) is 6