In this post, we will learn how to calculate the value of nPr using C Programming language.
nPr represents the probability of selecting an ordered set of ‘r’ objects from a group of ‘n’ number of objects. The order of objects matters in the case of permutation.
The formula to find the value of nPr is given by nPr = n! / (n – r)! where n is the total number of objects and r is the selected objects.
We will be using the above formula in our program to calculate the value of nPr.
So, without further ado, let’s begin this tutorial.
C Program To Calculate The Value of nPr
// C Program To Calculate The Value on nPr
#include <stdio.h>
int fact(int n){
int i, a = 1;
for (i = 1; i <= n; i++){
a = a * i;
}
return a;
}
int main(){
int n, r, npr;
// Asking for Input
printf("Enter the value of n: ");
scanf("%d", &n);
printf("Enter the value of p: ");
scanf("%d", &r);
npr = fact(n) / fact(n-r);
printf("The Value of P(%d,%d) is %d.", n, r, npr);
return 0;
}
Output
Enter the value of n: 5
Enter the value of p: 3
The Value of P(5,3) is 60.
How Does This Program Work ?
int fact(int n){
int i, a = 1;
for (i = 1; i <= n; i++){
a = a * i;
}
We have written a custom function which returns the factorial of a number.
int n, r, npr;In this program, we have declared three int data type variables named as n, r and npr.
// Asking for Input
printf("Enter the value of n: ");
scanf("%d", &n);
printf("Enter the value of p: ");
scanf("%d", &r);
Then, the user is asked to enter the value of n and r.
npr = fact(n) / fact(n-r);
printf("The Value of P(%d,%d) is %d.", n, r, npr);
Finally, the nPr is calculated using the formula n! / (n – r)! And printed to the screen using printf() function.
Conclusion
I hope after going through this post, you understand how to calculate the value of nPr using C Programming language.
If you have any doubt regarding the program, feel free to contact us in the comment section. We will be delighted to help you.
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