# Discrete mathematics and their solutions

The term discrete simply implies to separate or distinct from other methods that have existed earlier, therefore, discrete mathematics is the branch of mathematics dealing with objects that consider only distinct and separated values like fundamental concepts dealing with Sets, Relations and Functions, Mathematical Logic, Group theory, Counting Theory, Probability, Mathematical Induction, and Recurrence Relations, Graph Theory, Trees and Boolean algebra.

This branch of mathematics is a formulation which is a hybrid between the traditional and modern theories that are usually very vital to students pursuing courses like computer science, engineering or any other technical courses.

As a rule of thumb, discrete formulation acts like other mathematical principles that acts like mind opener thus acquitting scholars with basic skills and knowledge to tackle any mathematical problems that scholars may come across.

## Why choose us to deal with your discrete mathematical problems?

Our mathematical assignment help team is made up professionals who have a wide knowledge, skills and experience in the mathematical arena. Also our expert writers also abide by all the university or college guidelines, requirements, and instructions as per given by students to  offer you the best assignment help services that will enable you to climb that academic ladder successfully.

Under the discrete mathematical, our mathematical team is capable to tackle all problems dealing with;

• Sets,
• Relations and Functions,
• Mathematical Logic,
• Group theory,
• Counting Theory,
• Probability,
• Mathematical Induction, and Recurrence Relations,
• Graph Theory,
• Trees and Boolean algebra.

Discrete mathematic briefings

Sets

A set can be defined as the collection of separate value having the same identifiers or the objects. An object can be numbers, alphabets, names, etc.

Sets representation

The commonly methods of representing sets are:

1. a) Set Builder form:In this form of representation sets properties are fulfilled by all the elements of the set. We note as {x: x satisfies properties P}. And read as ‘the set of those entire x such that each x has properties P.’ Example:If B= {2, 4, 8, 16, 32}, then the set builder representation will be: B={x: x=2n, where n ∈ N and 1≤ n ≥5
2. b) Roster or tabular form:In this form of representation we list all the elements of the set within braces { } and separate them by commas. Example:If A= set of all even numbers less than 9 then in the roster from it can be expressed as A={ 2,4,6,8}.

Relations and functions

The following are the functions which are widely used in computer science and technical courses.

1. Floor Functions
2. Ceiling Functions
3. Remainder Functions
4. Logarithmic Functions
5. Exponential Functions

### Probability

The probability means the chance of occurring of a particular event. The probability is used in such cases where the outcome of the trial is uncertain.

Probability frequently used terminologies

• Dependent Event
• Independent event
• Trial and events
• Possible outcome
• Sure outcome
• Impossible events
• Compliment of events
• Outcome probability
• Random experimen

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