Java program to generate permutation and combination of the numbers

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mahmoud2506

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2022-05-05

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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.

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mahmoud2506

2022-05-06

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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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