Given n points in a plane and no more than two points are collinear, the task is to count the number of triangles in a given plane.
Examples:
Input : n = 3 Output : 1 Input : n = 4 Output : 4
Let there are n points in a plane and no three or more points are collinear then number of triangles in the given plane is given by
C++
// C++ program to find the number of// triangles in a plane if no more// then two points are collinear.#include <bits/stdc++.h>using namespace std;// Function to find number of triangles// in a plane.int countNumberOfTriangles(int n){ // Formula to find number of triangles // nC3 = n * (n - 1) * (n - 2) / 6 return n * (n - 1) * (n - 2) / 6;}// Driver codeint main(){ int n = 4; cout << countNumberOfTriangles(n); return 0;} |
C
// C program to find the number of// triangles in a plane if no more// then two points are collinear.#include <stdio.h>// Function to find number of triangles// in a plane.int countNumberOfTriangles(int n){ // Formula to find number of triangles // nC3 = n * (n - 1) * (n - 2) / 6 return n * (n - 1) * (n - 2) / 6;}// Driver codeint main(){ int n = 4; printf("%d",countNumberOfTriangles(n)); return 0;}// This code is contributed by kothavvsaakash. |
Java
// Java program to find the number of// triangles in a plane if no more// then two points are collinear.import java.io.*;class GFG { // Function to find number of triangles // in a plane. static int countNumberOfTriangles(int n) { // Formula to find number of triangle // nC3 = n * (n - 1) * (n - 2) / 6 return n * (n - 1) * (n - 2) / 6; } // Driver code public static void main(String[] args) { int n = 4; System.out.println( countNumberOfTriangles(n)); }} |
Python3
# Python3 program to find # the number of triangles # in a plane if no more# then two points are collinear.# Function to find number# of triangles in a plane.def countNumberOfTriangles(n) : # Formula to find # number of triangles # nC3 = n * (n - 1) * # (n - 2) / 6 return (n * (n - 1) * (n - 2) // 6)# Driver Codeif __name__ == '__main__' : n = 4 print(countNumberOfTriangles(n)) # This code is contributed# by ajit |
C#
// C# program to find the // number of triangles in // a plane if no more then // two points are collinear.using System;class GFG { // Function to find number // of triangles in a plane. static int countNumberOfTriangles(int n) { // Formula to find number // of triangle // nC3 = n * (n - 1) * // (n - 2) / 6 return n * (n - 1) * (n - 2) / 6; } // Driver code public static void Main() { int n = 4; Console.WriteLine( countNumberOfTriangles(n)); }}// This code is contributed by anuj_67. |
PHP
<?php// PHP program to find the // number of triangles in a // plane if no more then // two points are collinear.// Function to find number // of triangles in a plane.function countNumberOfTriangles($n){ // Formula to find number // of triangles nC3 = n * // (n - 1) * (n - 2) / 6 return $n * ($n - 1) * ($n - 2) / 6;}// Driver code$n = 4;echo countNumberOfTriangles($n);// This code is contributed// by anuj_67.?> |
Javascript
<script>// javascript program to find the number of// triangles in a plane if no more// then two points are collinear. // Function to find number of triangles // in a plane. function countNumberOfTriangles(n) { // Formula to find number of triangle // nC3 = n * (n - 1) * (n - 2) / 6 return n * (n - 1) * (n - 2) / 6; } // Driver code var n = 4; document.write(countNumberOfTriangles(n));// This code is contributed by aashish1995 </script> |
Output:
4
Time complexity: O(1)
Auxiliary space: O(1)
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