# WAP in C to use a function that compute the binomial coefficient

The Program in C to use a function that compute the binomial coefficient is given below:

``````#include <stdio.h>

unsigned long long int factorial(unsigned int n) {
// Function to calculate factorial of a number
if (n == 0) {
return 1;
}
return n * factorial(n - 1);
}

unsigned long long int binomial_coefficient(unsigned int n, unsigned int k) {
return factorial(n) / (factorial(k) * factorial(n - k));
}

int main() {
unsigned int n, k;
printf("Enter the value of n: ");
scanf("%u", &n);
printf("Enter the value of k: ");
scanf("%u", &k);

printf("Binomial coefficient (n choose k) is: %llu", binomial_coefficient(n, k));

return 0;
}
``````

## Output:

Enter the value of n: 4
Enter the value of k: 3
Binomial coefficient (n choose k) is: 4

## Pro-Tips💡

This program defines a function `binomial_coefficient()` that takes in two parameters `n` and `k` representing the binomial coefficient.

Inside the function, it calls a helper function `factorial()` which takes in one parameter and returns the factorial of the number passed as the parameter using recursion.

The function `binomial_coefficient()` uses the formula n!/((k!) (n-k)!) to calculate the binomial coefficient by calling the helper function `factorial()` twice.

In the main function, the program prompts the user to enter the values of `n` and `k`,

and then calls the `binomial_coefficient()` function with the inputted values as arguments and the result is printed on the console.

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