Choose your language

Counting Principles Course

Counting Principles Course
from 4 to 360h flexible workload
valid certificate in your country

What will I learn?

This course covers the full spectrum of counting principles, starting with set theory, Venn diagrams, and the addition and multiplication rules. You will develop fluency with factorials, permutations, and combinations before advancing to the Binomial Theorem and Pascal's Triangle. The inclusion-exclusion principle and the Pigeonhole Principle are treated in depth with rigorous proofs and applied problems. Advanced topics include stars-and-bars, generating functions, recurrence relations, Burnside's Lemma, and Catalan numbers. Supplementary chapters connect combinatorics to probability, graph theory, cryptography, and algorithm analysis. You will also build proof-writing skills through double counting, bijective arguments, and complementary counting strategies.

Elevify advantages

Develop skills

  • Permutation and Combination Identification: Recognise and solve ordered versus unordered selection problems accurately.
  • Inclusion-Exclusion Principle: Apply multi-set overlap formulas to eliminate overcounting in complex problems.
  • Binomial Theorem Fluency: Expand binomial expressions and extract specific terms using combinatorial coefficients.
  • Advanced Enumeration Methods: Use stars-and-bars, recurrence relations, and generating functions for non-routine problems.

Suggested summary

Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.
Workload: between 4 and 360 hours

What our students say

Your classes are perfect. I purchased the one-year package and finally have the opportunity to follow various topics of my interest without needing to change platforms... I thank you for everything you do, I've already recommended you to other people...
Giulio Carlo
Giulio CarloDigital Marketing Student
I like how the lessons are straight to the point and how I can switch chapters and skip content I don't need.
Mariana Ferres
Mariana FerresPhotography Student
I like the content and the way videos are presented and transcribed, which speeds up the process!
Luciana Alvarenga
Luciana AlvarengaNail Design Student
The platform is fast, simple to use. The diversity of content and complementary videos help a lot with learning.
André Felipe
André FelipePrompt Engineering Student

FAQ

Who is Elevify? How does it work?

Do the courses have certificates?

Are the courses free?

What is the course workload?

What are the courses like?

How do the courses work?

What is the duration of the courses?

What is the cost or price of the courses?

What is an EAD or online course and how does it work?

PDF Course