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 advanced counting techniques.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
Gain practical skills in counting 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 integer distributions confidently.
- Handle advanced permutations like derangements and circular arrangements.
- Use generating functions and inclusion-exclusion for complex problems.
- Develop rigorous solutions with proofs and error verification.
Suggested summary
Before starting, you can change the chapters and 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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