Master Permutations, Combinations & Probability Basics from Udemy

This course is carefully designed to cover all the fundamental concepts of Permutations, Combinations & Probability.

It has 81 lectures spanning 9+ hours of on-demand videos that are divided into 8 sections along with a special section on GMAT Past Paper problems. Each topic is explained extensively - by solving multiple questions along with the student during the lectures. The students are also provided and encouraged to solve practice questions & quizzes provided at the end of each topic.

Topics covered in the course:

Permutations

Fundamental principles of counting
Arrangement in a row
Permutations of objects not all Distinct
Conditional Permutations
Formation of numbers with different restrictions
Circular Permutations
Challenging Problems on Permutation

Combinations

Properties of C (n, r)
Basic Problems on Combinations
Combination Problems with restrictions
Challenging questions on Combination

Problems involving both Permutations and Combinations

Simple problems
Highly Skilled Problems

Probability

Empirical Probability
Theoretical Probability
Some Important terms of Probability
Coins and Simple Problems on Coins
Dice short Tricks
Algebra of Events based on Set Theory
Sample Space
Mutually Exclusive Events
Probability based on numbers
Odds in favor and Odds against
Probability Based upon Permutation or arrangements
Probability based on combinations or selection
Problems on Balls using combinations
Problems involving P(AUB) or P(AUBUB)

Conditional Probability and Baye’s Theorem

Conditional Probability
Practice Problems on Conditional Probability
Multiplication Theorem on Probability
Practice Problems on Multiplication Theorem
Independent Events
Practice Questions on Addition & multiplication Theorem

The Law of Total Probability and Baye’s Theorem

The law of total Probability
Practice Problems on the Law of Total Probability
Baye’s Theorem
Practice Problems on Baye’s Theorem

GMAT – Past Paper Problems

GMAT Problems (step by step solutions of 20 problems)

Here's what some students say about the course:

"Great. Very good explanations with great care in conveying the principles as well as the practical aspects of the concepts" - Anacleto Correia
"The course is amazing and the level of the questions is very high. Plus the instructor is also a supporting one. She answer each and every question. I am having a great learning till now" - Mayank Ahuja
"Great Course. Very Useful Tricks provided to solve problems quickly" - Kamlesh Jaiswal

With this course you'll also get:

Full lifetime access to the course
Complete support for any question, clarification or difficulty you might face on the topic
Udemy Certificate of Completion available for download
30-day money back guarantee

Feel free to contact me for any questions or clarifications you might have.

I look forward to seeing you in the course. :)

What's inside

Learning objectives

Permutations (fundamental principles of counting, arrangement in a row, conditional permutations, circular permutations etc.)
Combinations (properties of c (n, r), basic problems on combinations, combination problems with restrictions etc.)
Problems involving both permutations and combinations (simple problems, highly skilled problems)
Empirical probability, theoretical probability, coins, dice, algebra of events based on set theory

Sample space, mutually exclusive events, odds in favor and odds against, p(aub) or p(aubub) etc.)
Conditional probability and baye’s theorem (multiplication theorem on probability, independent events etc.)
The law of total probability and baye’s theorem
Gmat – past paper problems

Permutations (fundamental principles of counting, arrangement in a row, conditional permutations, circular permutations etc.)
Combinations (properties of c (n, r), basic problems on combinations, combination problems with restrictions etc.)
Problems involving both permutations and combinations (simple problems, highly skilled problems)
Empirical probability, theoretical probability, coins, dice, algebra of events based on set theory
Sample space, mutually exclusive events, odds in favor and odds against, p(aub) or p(aubub) etc.)
Conditional probability and baye’s theorem (multiplication theorem on probability, independent events etc.)
The law of total probability and baye’s theorem
Gmat – past paper problems

Syllabus

Resources on Permutations

Combinations

What is Combinations?

Introduction

Traffic lights

Read about what's good

what should give you pause

and possible dealbreakers

Includes a section dedicated to GMAT past paper problems, providing targeted practice for students preparing for the exam

Begins with fundamental principles of counting and gradually progresses to more challenging problems, suitable for various skill levels

Explores both theoretical and empirical probability, covering a wide range of topics from basic terms to Bayes' Theorem

Divides the content into well-defined sections with practice questions and quizzes, promoting active learning and knowledge retention

Covers set theory and its applications to probability, which is helpful for understanding the algebra of events

Devotes significant attention to conditional probability and Bayes' Theorem, which are essential concepts in probability theory

Reviews summary

Foundation in permutations, combinations & probability

According to learners, this course provides a clear and solid foundation in the fundamental concepts of permutations, combinations, and probability. Many find the step-by-step explanations and the abundance of practice problems particularly helpful for solidifying understanding and applying the material. The course is frequently cited as being excellent for beginners and those preparing for exams like the GMAT, with a dedicated section praised by some. While the pace might feel slow or repetitive for some students, especially those with some prior knowledge, the comprehensive coverage and the instructor's apparent responsiveness to questions are highlighted as significant positive aspects.

Instructor is responsive to questions.

"the instructor is also a supporting one. She answer each and every question."

"Instructor is responsive in the Q&A."

"Complete support for any question, clarification or difficulty..."

Course includes relevant GMAT problems.

"Exactly what I needed for GMAT prep."

"The dedicated GMAT section is a great bonus."

"step by step solutions of 20 problems (GMAT section)"

Excellent course for foundational understanding.

"Excellent foundation builder."

"It's good for absolute beginners..."

"This course provided me with a strong foundation..."

Practice problems aid understanding and application.

"Lots of practice problems help solidify understanding."

"The practice problems were helpful..."

"The step-by-step solutions to problems are invaluable."

Concepts are explained clearly step-by-step.

"The instructor explains concepts very clearly step by step."

"Very good explanations with great care in conveying the principles..."

"Cleared up so many doubts I had from university classes."

Some learners find the pace slow or repetitive.

"Found some parts a bit slow."

"The explanations were thorough but sometimes repetitive."

May not challenge intermediate/advanced learners.

"Didn't find it challenging enough."

"It's good for absolute beginners but doesn't go deep..."

"Needed more rigorous exercises."

Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Master Permutations, Combinations & Probability Basics with these activities:

Review Set Theory Basics

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Reinforce your understanding of set theory, as it provides the foundation for understanding probability and events.

Browse courses on Set Theory

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Review definitions of sets and subsets.
Practice set operations like union and intersection.
Solve problems involving Venn diagrams.

Permutation and Combination Drills

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Sharpen your skills by solving a variety of permutation and combination problems to improve speed and accuracy.

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Solve 20 permutation problems of varying difficulty.
Solve 20 combination problems of varying difficulty.
Analyze mistakes and rework incorrect problems.

Create a Probability Cheat Sheet

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Consolidate your knowledge by creating a cheat sheet summarizing key probability formulas and concepts.

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List all important probability formulas.
Provide examples for each formula.
Organize the cheat sheet for quick reference.

Four other activities

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Show all seven activities

Review: 'Introduction to Probability' by Joseph Blitzstein and Jessica Hwang

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Deepen your understanding of probability theory with a comprehensive textbook that provides a strong theoretical foundation.

View Introduction to Probability, Second Edition on Amazon

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Read chapters related to course topics.
Work through examples and exercises.
Compare book explanations with course lectures.

Probability Simulation Project

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Apply your knowledge by creating a simulation of a real-world probability scenario, such as coin flips, dice rolls, or card games.

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Choose a probability scenario to simulate.
Write code to simulate the scenario.
Analyze the simulation results.
Compare simulation results to theoretical probabilities.

Review: 'Fifty Challenging Problems in Probability' by Frederick Mosteller

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Challenge yourself with complex probability problems to enhance your problem-solving abilities and deepen your understanding.

View Fifty Challenging Problems in Probability with... on Amazon

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Select 10 challenging problems from the book.
Attempt to solve the problems independently.
Compare your solutions with the book's solutions.

Tutor Other Students

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Solidify your understanding by tutoring other students on permutations, combinations, and probability concepts.

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Offer tutoring sessions to classmates.
Prepare explanations and examples.
Answer questions and provide feedback.

Career center

Learners who complete Master Permutations, Combinations & Probability Basics will develop knowledge and skills that may be useful to these careers:

Actuary

The role of an actuary involves assessing and managing financial risks, often for insurance companies or pension funds. Actuaries use statistical models to forecast future events. This course, with its coverage of probability, permutations, and combinations, helps build a foundation for understanding the mathematical principles that underpin actuarial science. The sections on conditional probability and Bayes' Theorem may be useful in modeling scenarios and updating risk assessments based on new information. Students exploring a career as an actuary should consider this course.

See salaries and explore the career path for Actuary

Data Scientist

A data scientist extracts knowledge and insights from data using various statistical methods. This involves probability and statistical thinking. A course that covers permutations, combinations, and probability helps provide a foundation for understanding data analysis techniques. This course's focus on probability distributions and conditional probability may be useful for building predictive models and making data-driven decisions. The course's treatment of GMAT past paper problems can develop problem solving skills. Aspiring data scientists may find this a useful introduction.

See salaries and explore the career path for Data Scientist

Operations Research Analyst

Operations research analysts use mathematical modeling and analysis to improve efficiency and effectiveness in organizations. The role requires a strong understanding of probability and optimization techniques. The course covering permutations, combinations, and probability helps build a good foundation for understanding the underlying principles of modeling. The sections on conditional probability and the law of total probability may be useful for creating simulations. An operations research analyst would benefit from concepts covered in this course.

See salaries and explore the career path for Operations Research Analyst

Statistician

Statisticians collect, analyze, and interpret data to solve problems in various fields. Much of their work involves understanding probability distributions and statistical inference. This course, with its comprehensive exploration of permutations, combinations, and probability, helps to develop the fundamental knowledge required for statistical analysis. The sections on conditional probability and the law of total probability may be particularly valuable for modeling complex systems. This course is appropriate for someone exploring a statistician role.

See salaries and explore the career path for Statistician

Quantitative Analyst

A quantitative analyst, often working in finance, develops and implements mathematical models for pricing securities, managing risk, and predicting market behavior. The role requires a strong understanding of probability and statistics. The course's coverage of permutations, combinations, and probability helps build a foundation for creating quantitative models. The sections on conditional probability and Bayes' Theorem can be applied to refine predictions based on new data. One who wishes to become a quantitative analyst might consider this course as an early introduction.

See salaries and explore the career path for Quantitative Analyst

Underwriter

Underwriters evaluate and assess the risk of insuring individuals or assets. The course's coverage of permutations, combinations, and probability helps build a solid foundation for understanding risk assessment techniques and modeling potential losses. The sections on conditional probability and Bayes' Theorem are useful for incorporating new information into risk evaluations. An underwriter would benefit from material presented in this course.

See salaries and explore the career path for Underwriter

Financial Analyst

Financial analysts evaluate investment opportunities and provide recommendations based on financial data. The work involves assessing risk and return, which requires an understanding of probability. While more focused on financial modeling, the course's coverage of probability helps build a foundation for understanding risk assessment techniques. The GMAT problems can help improve quantitative reasoning skills. This course may be useful for one who wishes to become a financial analyst.

See salaries and explore the career path for Financial Analyst

Market Research Analyst

Market research analysts study consumer behavior and market trends to advise companies on product development and marketing strategies. This typically involves survey design and statistical analysis. While not directly related to the core tasks, the course's focus on probability and combinations may be useful for understanding sampling techniques and data interpretation. The course may be useful to one who wishes to begin a career as a market research analyst.

See salaries and explore the career path for Market Research Analyst

Business Intelligence Analyst

Business intelligence analysts examine data to identify trends and insights that can improve business decision-making. Although the role focuses more on data visualization and reporting, a foundational understanding of probability may be useful for interpreting data and drawing meaningful conclusions. The sections on probability and GMAT problems may be useful. This course may be useful to one who wants to become a business intelligence analyst.

See salaries and explore the career path for Business Intelligence Analyst

Game Developer

Game developers create video games for entertainment purposes. Probability and statistics play a role in designing game mechanics and artificial intelligence. The course's coverage of permutations, combinations, and probability can help with these tasks. The sections on probability may be particularly relevant for creating random events and balancing game difficulty. Someone keen to become a game developer might find these concepts useful.

See salaries and explore the career path for Game Developer

Software Engineer

Software engineers design, develop, and test software applications. In some areas, such as algorithm design or machine learning, probability and combinatorics are valuable. The course's coverage of permutations, combinations, and probability helps build a foundation for understanding these concepts. The problem-solving skills developed through the GMAT past paper problems may also be helpful. Someone passionate about software engineering may benefit from this course.

See salaries and explore the career path for Software Engineer

Investment Banker

Investment bankers advise companies on raising capital and mergers and acquisitions. While the day-to-day work is heavily focused on finance and deal-making, a foundational understanding of probability and statistics is useful for quantitative analysis and risk assessment. This course, with its coverage of permutations, combinations, and probability, may be useful for understanding these essential areas. Knowledge of permutation and combination principles will give one interested in investment banking an edge.

See salaries and explore the career path for Investment Banker

Fraud Analyst

Fraud analysts investigate and analyze potentially fraudulent activity. They apply their critical thinking to assess patterns of behavior. By taking this permutation and combination course, a fraud analyst may be able to improve their abilities to recognize patterns and prevent fraud. These pattern analysis skills would be highly applicable.

See salaries and explore the career path for Fraud Analyst

Teacher

Teachers educate students in a variety of subjects. A teacher may find it helpful to review permutations, combinations and probability presented from different perspectives. This course may also help a teacher prepare for standardized tests such as the GMAT. This is a great refresher course for a teacher.

See salaries and explore the career path for Teacher

Consultant

Consultants work with organizations to improve their performance. Many of their problem-solving skills are relevant to the material in this course. This course helps to develop a foundation in various skills relating to permutations, combinations and probability. This may be useful in performing analysis and making recommendations.

See salaries and explore the career path for Consultant

Reading list

We've selected two books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Master Permutations, Combinations & Probability Basics.

Introduction to Probability, Second Edition

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Provides a comprehensive introduction to probability theory, covering both theoretical foundations and practical applications. It is particularly useful for understanding the underlying principles behind permutations, combinations, and conditional probability. The book offers numerous examples and exercises that can help solidify your understanding of the concepts taught in the course. It is often used as a textbook in introductory probability courses at universities.

Introduction to Probability, Second Edition

Paperback

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Introduction to Probability, Second Edition

Kindle Edition

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Fifty Challenging Problems in Probability with...

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Presents a collection of intriguing and thought-provoking probability problems that require a deep understanding of the subject matter. It is an excellent resource for challenging your problem-solving skills and gaining a more intuitive grasp of probability concepts. While not a textbook, it serves as valuable additional reading to supplement the course material. It is particularly helpful for students preparing for advanced exams or competitions.

Fifty Challenging Problems in Probability with...

Kindle Edition

Master Permutations, Combinations & Probability Basics

What's inside

Learning objectives

Syllabus

Traffic lights

Save this course

Reviews summary

Foundation in permutations, combinations & probability

Activities

Career center

Reading list

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