Combinatorics courses can help you learn counting principles, permutations, combinations, and graph theory. You can build skills in problem-solving, algorithm design, and mathematical reasoning, which are crucial for fields like computer science and operations research. Many courses introduce tools such as generating functions and combinatorial algorithms, which are used to solve complex problems in optimization and data analysis.

Princeton University
Skills you'll gain: Data Structures, Algorithms, Graph Theory, Java, Performance Testing, Java Programming, Computational Thinking, Memory Management, Spatial Data Analysis
★ 4.9 (12K) · Intermediate · Course · 3 - 6 Months

Johns Hopkins University
Skills you'll gain: Political Sciences, Policy Analysis, Social Studies, Social Justice, Public Affairs, Mathematics and Mathematical Modeling, Social Sciences, Public Policies, Game Theory, Demography, Mathematical Modeling, Governance, Decision Intelligence, Combinatorics, General Mathematics, Diversity Awareness, Applied Mathematics
★ 4.7 (28) · Mixed · Course · 1 - 3 Months

University of Colorado Boulder
Skills you'll gain: Theoretical Computer Science, Algorithms, Graph Theory, Data Structures, Operations Research, Quantum computing, Public Key Cryptography Standards (PKCS), Cryptography, Computational Thinking, Design Strategies, Cryptographic Protocols, Applied Mathematics, Tree Maps, Encryption, Network Model, Combinatorics, Data Science, Mathematical Software, Computer Science, Python Programming
★ 4.7 (978) · Advanced · Specialization · 3 - 6 Months

Universitat Politècnica de València
Skills you'll gain: Deductive Reasoning, Concept Of Operations
Beginner · Course · 1 - 4 Weeks

Birla Institute of Technology & Science, Pilani
Skills you'll gain: Theoretical Computer Science, Mathematics and Mathematical Modeling, Applied Mathematics, Algorithms, Cryptography, Data Management
Beginner · Course · 1 - 3 Months

University of London
Skills you'll gain: Algorithms, Computational Thinking, Theoretical Computer Science, Computational Logic, Critical Thinking and Problem Solving, Computer Science, Data Structures, Critical Thinking, Classification Algorithms, Logical Reasoning, Graph Theory, Mathematical Theory & Analysis, Complex Problem Solving, Analysis, Game Theory
★ 4.2 (6) · Intermediate · Course · 1 - 4 Weeks

University of Colorado Boulder
Skills you'll gain: Graph Theory, Data Structures, Algorithms, Tree Maps, Theoretical Computer Science, Analysis, Python Programming
★ 4.6 (192) · Advanced · Course · 1 - 4 Weeks

Shanghai Jiao Tong University
Skills you'll gain: Combinatorics, Graph Theory, Theoretical Computer Science, Network Model, Mathematical Theory & Analysis, Advanced Mathematics, Network Analysis, Mathematics and Mathematical Modeling, Logical Reasoning, General Mathematics, Algorithms, Probability, Computer Science
★ 3.3 (204) · Intermediate · Course · 1 - 3 Months

Rice University
Skills you'll gain: Computational Thinking, Event-Driven Programming, Algorithms, Combinatorics, Graph Theory, Programming Principles, Application Development, Object Oriented Programming (OOP), Data Structures, Theoretical Computer Science, Probability, Video Game Development, Bioinformatics, Interactive Design, Animation and Game Design, Python Programming, Data Analysis, User Interface (UI), Computer Science, Computer Programming
★ 4.8 (4.1K) · Beginner · Specialization · 3 - 6 Months

École Polytechnique
Skills you'll gain: Probability, Probability Distribution, Probability & Statistics, Simulations, Statistical Methods, Interactive Data Visualization, Combinatorics, Mathematical Theory & Analysis, Calculus, Applied Mathematics, Correlation Analysis, Numerical Analysis
★ 4.5 (105) · Mixed · Course · 1 - 3 Months

Princeton University
Skills you'll gain: Graph Theory, Data Structures, Algorithms, Theoretical Computer Science, Computer Programming, Java Programming, Java
★ 4.9 (2.1K) · Intermediate · Course · 3 - 6 Months

Board Infinity
Skills you'll gain: Logical Reasoning
★ 3.2 (10) · Beginner · Course · 1 - 3 Months