Combinatorics (University Level) : Counting Principles

Counting for Data Science, GRE, DAT, GMAT, probability, and combinatorics!

What you'll learn
You will be able to handle counting problems necessary for tests such as the GRE, GMAT, DAT, etc.
You will have a firm foundation for pursuing more combinatorics.
You will be comfortable with permutations, combinations, binomial coefficients, ordering with repetition, choosing with repetition, PIE, etc.
You will be comfortable with the combinatorics needed for beginning a data science career.

Requirements
You should be comfortable with arithmetic and basic algebra skills.
You should be comfortable with US college level work (pacing), e.g., UCI, UCLA, USC, etc.
You should have enough mathematical maturity to stick with a "hard" topic. Combinatorics can seem easy at first, but it can easily stump you with "difficult" questions that look so simple.
You should have some college level math experience (calculus) OR be just be REALLY dedicated.
This course can be a breeze or can be very difficult based on your interests and, most importantly, your dedication.

Description
Learn the multiplication rule, permutations, combinations, n choose r with repetition, multinomial, the principle of inclusion and exclusion, partitions, and derangements.  John will take you through the ideas and techniques you need to get a firm handle on counting concepts and applications.  This course is perfect for people wanting to learn counting strategies for tests such as the GRE, DAT, and GMAT, for anyone interested in Data Science, for anyone studying combinatorics , probability, or statistics, and for those just interested in interesting enumeration problems.   John mentions some extra applications that require some knowledge of numbers such as "e," but these applications can easily be skipped with no loss of continuity.Combinatorics is a growing field utilized in data science, computer science, statistics, probability, engineering, physics, business management, and everyday life.  This course is a great introduction with some specialized topics.  It is best for someone getting started.  If you are more experienced, this course is not for you unless you want to revisit the core concepts.  Please see the list of topics.*Although this course covers only the topics listed, the material can be challenging and demand time to fully absorb!**This is paced as "Beginner" for a US College Course. But, on UDEMY the course rated 5.0 until a student rated the it a 1.0 due to the difficulty. A few other students commented that they loved the course but that it was set at a difficulty level greater than "Beginner" with respect to many UDEMY courses. To be consistent with the platform, the class has been adjusted to an "Intermediate" level course. However, if you are taking a university course in the US on combinatorics, this course would be the equivalent of the first part of a combinatorics class.

Who this course is for:
This course starts from scratch and covers counting for probability and combinatorics at an introductory level, BUT at a "US college" pace., Example: Someone studying for the GRE or DAT, studying computer science, starting a combinatorics course, studying statistical mechanics, etc., This course is not for someone with experience in combinatorics (unless you want to review core counting)., This course is for anyone with an interest in combinatorics! After all, we all count!