Combinatorial Analysis Course
This course equips you with essential combinatorial tools including permutations, combinations, stars and bars, inclusion-exclusion, and generating functions. Learn to model constraints, justify formulas, and craft rigorous, error-free solutions for real-world math challenges, building confidence in counting complex structures.

4 to 360 hours of flexible workload
certificate valid in your country
What Will I Learn?
Gain practical tools to count complex structures confidently in this course. Master permutations, combinations, multinomials, stars and bars, and generating functions. Handle constraints, derangements, circular arrangements, and distributions with rigorous solutions and error checks for tough problems.
Elevify Advantages
Develop Skills
- Master core counting rules for permutations, combinations, and products.
- Apply stars and bars to solve constrained integer distributions.
- Handle advanced permutations like derangements, circular orders, and constraints.
- Use generating functions and inclusion-exclusion for complex problems.
- Develop rigorous combinatorial proofs with error checks.
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.What our students say
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