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# Java program to generate permutation and combination of the numbers

In this java program, we are going to **generate permutation and combination of the numbers**.

Submitted by **IncludeHelp**, on November 17, 2017

Permutations are the number of arrangements or orderings of the elements within a fixed group. Combinations on the other hand, are useful when we have to find out how many groups can form from a larger number of people.

If you are forming a group from a larger group and the placement within the smaller group is important, then you want to use permutations.

## Program to print permutation, combination of the numbers in Java

import java.util.Scanner;
public class PermutationCombinationOfNumbers
{
public static int fact(int num)
{
// initialize and declare objects.
int fact=1, i;
for(i=1; i<=num; i++)
{
fact = fact*i;
}
return fact;
}
public static void main(String args[])
{
int n, r;
Scanner scan = new Scanner(System.in);
// enter numbers here.
System.out.print("Enter Value of n : ");
n = scan.nextInt();
System.out.print("Enter Value of r : ");
r = scan.nextInt();
// calculate permutation and combination here.
System.out.print("Combination of the numbers is : " +(fact(n)/(fact(n-r)*fact(r))));
System.out.print("\nPermutation of the numbers is : " +(fact(n)/(fact(n-r))));
}
}

**Output**

First run:
Enter Value of n : 7
Enter Value of r : 3
Combination of the numbers is : 35
Permutation of the numbers is : 210
Second run:
Enter Value of n : 8
Enter Value of r : 5
Combination of the numbers is : 56
Permutation of the numbers is : 6720

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