Combinatorial Analysis Course
This course builds essential combinatorial analysis skills, covering permutations, combinations, stars and bars, inclusion-exclusion, and generating functions. Students learn to model constraints, justify formulas, and create rigorous, error-free solutions for challenging math problems.

4 to 360h flexible workload
certificate valid in your country
What will I learn?
Gain practical tools to count complex structures confidently through fundamental principles, permutations, combinations, multinomials, stars and bars, and generating functions. Master handling constraints, derangements, circular arrangements, 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 confidently.
- Handle advanced permutations including derangements, circular orders, and constraints.
- Use generating functions and inclusion-exclusion for complex counting problems.
- Develop rigorous combinatorial solutions with proofs and 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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