What is Combinatorics?

Combinatorics is a branch of mathematics that focuses on counting, arranging, and analyzing discrete objects and structures. It deals with the study of different ways to select, arrange, and combine elements from finite sets or sequences, often in the context of discrete and finite structures. Combinatorics encompasses a wide range of topic.

Basics of Combinatorics for Competitive Programming


Welcome to the world of competitive programming, where we’ll explore the ABCs of Combinatorics – a fancy term for counting and arranging things. Think of it like solving puzzles with numbers and patterns. In this article, we’re diving into the Basics of Combinatorics that every competitive programmer needs to know. We’ll learn how to count, arrange, and select things in clever ways. These skills are like secret weapons for solving problems quickly and efficiently. So, get ready to boost your problem-solving game with the magic of Combinatorics!

Table of Content

  • What is Combinatorics?
  • Basic Rules of Combinatorics
  • Fundamental Concepts in Combinatorics
  • Practice Problems on Combinatorics

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What is Combinatorics?

Combinatorics is a branch of mathematics that focuses on counting, arranging, and analyzing discrete objects and structures. It deals with the study of different ways to select, arrange, and combine elements from finite sets or sequences, often in the context of discrete and finite structures. Combinatorics encompasses a wide range of topic....

Basic Rules of Combinatorics:

1. The Sum Rule:...

Fundamental Concepts in Combinatorics

Here, we’r going to introduce you to several fundamental concepts in combinatorics that is very useful:...

Practice Problems on Combinatorics:

Problem Practice Perfect Sum Problem Solve Combination Sum Solve Permutations of a given string Solve Subsets with XOR value Solve nCr mod M | Part 1 Solve Combination Sum II Solve Combination Sum III Solve nPr Solve Calculate the coefficient Solve Maximum Sum Combination Solve...

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