![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Narayana number in C++
The Narayana numbers can be expressed in terms of binomial expression $1/n\binom{n}{k} \binom{n}{k-1}$ Learn more about the Narayana number here.
You are given the numbers n and k. Find the Narayana number. It's a straightforward problem having the combinations formula. Let's see the code.
Algorithm
- Initialise the numbers n and k.
- Find the Narayana number using the given formula.
- Print the resultant number.
Implementation
Following is the implementation of the above algorithm in C++
#include <bits/stdc++.h> using namespace std; int factorial(int n) { int product = 1; for (int i = 2; i <= n; i++) { product *= i; } return product; } int nCr(int n, int r) { return factorial(n) / (factorial(n - r) * factorial(r)); } int main() { int n = 8, k = 5; cout << nCr(n, k) * nCr(n, k - 1) / n << endl; return 0; }
Output
If you run the above code, then you will get the following result.
490
Advertisements