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Combinatorics (An Introduction)


Combinatorics (An Introduction)


Combinatorics (An Introduction) 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 (multinomial), choosing with repetition (multichoose), the principle of exclusion-inclusion, derrangements, etc.
  • You will be comfortable with the combinatorics needed for beginning a data science career.


  • You should be comfortable with arithmetic and basic algebra skills.


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.  This course starts from the ground up and requires only basic algebra and arithmetic skills.  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.

Who this course is for:

  • This course starts from scratch and covers counting for probability and combinatorics at an introductory level.
  • 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!
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