Binomial Coefficient in java


Binomial coefficient (c(n, r) or nCr) is calculated using the formula n!/r!*(n-r)!. Following is the Java program find out the binomial coefficient of given integers.

Program

import java.util.Scanner;

public class BinomialCoefficient {
   public static long fact(int i) {
      if(i <= 1) {
         return 1;
      }
      return i * fact(i - 1);
   }
   public static void main(String args[]) {
      Scanner sc = new Scanner(System.in);  
      System.out.println("Enter n value: ");
     
      int n = sc.nextInt();
      System.out.println("Enter r value: ");
     
      int r = sc.nextInt();
      long ncr = fact(n)/(fact(r)*fact(n-r));
      System.out.println("c("+n+", "+r+") :"+ ncr);
   }
}

Output

Enter n value:
8
Enter r value:
3
c(8, 3) :56

Updated on: 25-Jun-2020

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