# Discrete Mathematics

## Pigeonhole Principle with Examples

Here we will see how obvious the pigeonhole principle is. Its proof is very simple, and amazingly, it has several useful applications. Let us start …

## The Principal of Inclusion and Exclusion with Examples

INCLUSION And EXCLUSION Let us begin with a problem we have made inclusion and exclusion alternately: In a sports club with 54 members, 34 …

## Counting and Combinatorics- Principle of Counting

Combinatorics Combinatorics is the branch of discrete mathematics concerned with counting problems. Techniques for counting are important in Mathematics and Computer Science especially in …

## What is Convergent and Divergent Sequence?

Introduction to Sequence The concept of limit forms the basis of Calculus and distinguishes it from Algebra. The idea of the limit of a …

## Functions in Group Theory with Examples

Functions Let A and B be two non-empty sets. A function or a mapping f from A to be B is a rule which …

## Relations in Group Theory

Let A and B two non-empty sets. Then a relation R from A to B is a subset of containing the ordered pairs such that …

## All about Set Theory that we need to know

INTRODUCTION TO SET THEORY The idea of set has been intuitively used in mathematics since the time of ancient Greeks now set theory and …

## How to prove using the Principle of Mathematical Induction?

MATHEMATICAL INDUCTION The principle of mathematical induction has a very special place in mathematics because of its simplicity and vast amount of applications   …

## What is Predicate and Quantifiers in Discrete Mathematics?

PREDICATE AND QUANTIFIERS A propositional function, or a predicate, in a variable x is a sentence p(x) involving x that becomes a proposition when …

## Propositional Logic – What is Proposition?

PROPOSITIONS – Propositional Logic First, you have to know that what is Proposition or what is Propositional Logic?‘An elephant weighs more than a human …

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