Combinatorial Analysis Course
This course equips you with essential combinatorial tools like permutations, combinations, stars and bars, inclusion-exclusion, and generating functions. Learn to model constraints, justify formulas, and craft precise, error-free solutions for real-world math challenges in a clear, practical way.

from 4 to 360h flexible workload
certificate valid in your country
What will I learn?
Gain practical skills in counting complex structures confidently through 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 key counting principles for permutations, combinations, and products.
- Solve integer distributions using stars and bars confidently.
- Handle advanced topics like derangements, circular permutations, and constraints.
- Apply generating functions and inclusion-exclusion to complex problems.
- Develop rigorous proofs and error checks for combinatorial solutions.
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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