Skip to content
Merged
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
46 changes: 46 additions & 0 deletions src/main/java/com/thealgorithms/maths/BinomialCoefficient.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,46 @@
package com.thealgorithms.maths;

/*
* Java program for Binomial Cofficients
* Binomial Cofficients: A binomial cofficient C(n,k) gives number ways
* in which k objects can be chosen from n objects.
* Wikipedia: https://en.wikipedia.org/wiki/Binomial_coefficient
*
* Author: Akshay Dubey (https://github.com/itsAkshayDubey)
*
* */

public class BinomialCoefficient {

/**
* This method returns the number of ways in which k objects can be chosen from n objects
*
* @param total_objects Total number of objects
* @param no_of_objects Number of objects to be chosen from total_objects
* @return number of ways in which no_of_objects objects can be chosen from total_objects objects
*/

static int binomialCoefficient(int total_objects, int no_of_objects) {

//Base Case
if(no_of_objects > total_objects) {
return 0;
}

//Base Case
if(no_of_objects == 0 || no_of_objects == total_objects) {
return 1;
}

//Recursive Call
return binomialCoefficient(total_objects - 1, no_of_objects - 1)
+ binomialCoefficient(total_objects - 1, no_of_objects);
}

public static void main(String[] args) {
System.out.println(binomialCoefficient(20,2));

//Output: 190
}

}