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    • Combinatorics

    Combinatorics Courses Online

    Explore combinatorics for counting, arrangement, and combination problems. Learn to apply combinatorial methods in mathematics and computer science.

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    Explore the Combinatorics Course Catalog

    • Placeholder
      Status: Free
      Free
      U

      Universitat Autònoma de Barcelona

      Pre-Calculus

      Skills you'll gain: Trigonometry, Integral Calculus, Calculus, Arithmetic, Advanced Mathematics, Algebra, Mathematical Theory & Analysis, Applied Mathematics, Graphing, Derivatives

      4.7
      Rating, 4.7 out of 5 stars
      ·
      568 reviews

      Beginner · Course · 1 - 3 Months

    • D

      DeepLearning.AI

      Mathematics for Machine Learning and Data Science

      Skills you'll gain: Descriptive Statistics, Bayesian Statistics, Statistical Hypothesis Testing, Probability & Statistics, Sampling (Statistics), Probability Distribution, Probability, Linear Algebra, Statistical Inference, A/B Testing, Statistical Analysis, Applied Mathematics, NumPy, Calculus, Dimensionality Reduction, Machine Learning, Jupyter, Python Programming, Data Manipulation, Data Science

      4.6
      Rating, 4.6 out of 5 stars
      ·
      2.7K reviews

      Intermediate · Specialization · 1 - 3 Months

    • Status: New
      New
      C

      Codio

      C++: Data Structures and Algorithms

      Skills you'll gain: Computational Thinking, Algorithms, Graph Theory, Data Structures, C++ (Programming Language), C and C++, Programming Principles, Computer Programming, Object Oriented Programming (OOP), Technical Design, Theoretical Computer Science

      Intermediate · Specialization · 1 - 3 Months

    • C

      Codio

      Java: Data Structures and Algorithms

      Skills you'll gain: Data Structures, Algorithms, Java, Theoretical Computer Science, Computer Programming, Programming Principles, Computational Thinking, Program Development, Object Oriented Programming (OOP), Performance Tuning

      Intermediate · Specialization · 1 - 3 Months

    • J

      Johns Hopkins University

      Algebra: Elementary to Advanced - Polynomials and Roots

      Skills you'll gain: Algebra, Advanced Mathematics, Applied Mathematics, Analytical Skills, Mathematical Modeling, Geometry, Graphing

      4.9
      Rating, 4.9 out of 5 stars
      ·
      144 reviews

      Beginner · Course · 1 - 3 Months

    • A

      Arizona State University

      Design of Experiments

      Skills you'll gain: Experimentation, Sample Size Determination, Research Design, Regression Analysis, Statistical Analysis, Statistical Methods, Statistical Modeling, Statistical Hypothesis Testing, Statistical Software, A/B Testing, Sampling (Statistics), Data Analysis, Estimation, Mathematical Modeling, Probability & Statistics, Data Transformation, Descriptive Statistics, Probability Distribution, Variance Analysis, Quality Control

      4.7
      Rating, 4.7 out of 5 stars
      ·
      358 reviews

      Beginner · Specialization · 3 - 6 Months

    • Placeholder
      S

      Stanford University

      Divide and Conquer, Sorting and Searching, and Randomized Algorithms

      Skills you'll gain: Algorithms, Graph Theory, Data Structures, Theoretical Computer Science, Computational Thinking, Analysis, Probability, Design Strategies

      4.8
      Rating, 4.8 out of 5 stars
      ·
      5.3K reviews

      Intermediate · Course · 1 - 4 Weeks

    • Placeholder
      S

      Stanford University

      Graph Search, Shortest Paths, and Data Structures

      Skills you'll gain: Data Structures, Graph Theory, Algorithms, Network Analysis, Computational Thinking, Network Routing

      4.8
      Rating, 4.8 out of 5 stars
      ·
      2K reviews

      Intermediate · Course · 1 - 4 Weeks

    • Placeholder
      R

      Rice University

      Fundamentals of Computing

      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, Independent Thinking, Probability, Computer Programming, Interactive Design, Program Development, Big Data, Python Programming, Data Analysis, Machine Learning Algorithms, Computational Logic

      4.8
      Rating, 4.8 out of 5 stars
      ·
      4.1K reviews

      Beginner · Specialization · 3 - 6 Months

    • Placeholder
      S

      Stanford University

      Greedy Algorithms, Minimum Spanning Trees, and Dynamic Programming

      Skills you'll gain: Algorithms, Bioinformatics, Graph Theory, Computational Thinking, Data Structures, Theoretical Computer Science, Computer Science

      4.8
      Rating, 4.8 out of 5 stars
      ·
      1.3K reviews

      Intermediate · Course · 1 - 4 Weeks

    • Placeholder
      T

      The Hong Kong University of Science and Technology

      Matrix Algebra for Engineers

      Skills you'll gain: Linear Algebra, Engineering Calculations, Algebra, Engineering Analysis, General Mathematics, Advanced Mathematics, Applied Mathematics

      4.9
      Rating, 4.9 out of 5 stars
      ·
      4.5K reviews

      Beginner · Course · 1 - 4 Weeks

    • Placeholder
      U

      University of Illinois Urbana-Champaign

      Accelerated Computer Science Fundamentals

      Skills you'll gain: C++ (Programming Language), Data Structures, Object Oriented Programming (OOP), Object Oriented Design, Graph Theory, Development Environment, Data Storage, Computer Programming, Software Engineering, Algorithms, Data Storage Technologies, Debugging, Program Development, Database Systems, Database Theory, Network Routing, Computational Thinking

      4.7
      Rating, 4.7 out of 5 stars
      ·
      3.5K reviews

      Intermediate · Specialization · 1 - 3 Months

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    In summary, here are 10 of our most popular combinatorics courses

    • Pre-Calculus: Universitat Autònoma de Barcelona
    • Mathematics for Machine Learning and Data Science: DeepLearning.AI
    • C++: Data Structures and Algorithms: Codio
    • Java: Data Structures and Algorithms: Codio
    • Algebra: Elementary to Advanced - Polynomials and Roots: Johns Hopkins University
    • Design of Experiments: Arizona State University
    • Divide and Conquer, Sorting and Searching, and Randomized Algorithms: Stanford University
    • Graph Search, Shortest Paths, and Data Structures: Stanford University
    • Fundamentals of Computing: Rice University
    • Greedy Algorithms, Minimum Spanning Trees, and Dynamic Programming: Stanford University

    Skills you can learn in Probability And Statistics

    R Programming (19)
    Inference (16)
    Linear Regression (12)
    Statistical Analysis (12)
    Statistical Inference (11)
    Regression Analysis (10)
    Biostatistics (9)
    Bayesian (7)
    Logistic Regression (7)
    Probability Distribution (7)
    Bayesian Statistics (6)
    Medical Statistics (6)

    Frequently Asked Questions about Combinatorics

    Combinatorics is a branch of math that explores counting and possible ways to count items. It includes concepts like enumeration, combination, and permutation of sets. Combinatorics is related to other branches of math, such as graph theory, coding, and probability.‎

    Learning combinatorics teaches more than how to calculate permutations—which on its own is a useful skill. It also helps boost your problem-solving skills. You can practice the process of dissecting a problem, exploring all of the possible solutions to the problem, and considering the best possible outcomes. An understanding of combinatorics can come in handy when you play games of chance, too.‎

    Combinatorics plays a role in many different fields—from software development to medicine—where you can find career opportunities after learning combinatorics. There are opportunities as a math or computer science researcher or algorithm designer. With an understanding of combinatorics, you may choose to work as an analyst and offer consulting services to companies that need help streamlining processes and increasing profit margins.

    Combinatorics is helpful when people and organizations need to examine possible outcomes. Epidemiologists who want to know how a virus spreads through a population may explore possibilities through combinatorics. Investors who need to decide where to invest their money use math models as they make a decision. A transportation company that wants to reduce fuel costs and increase efficiency can turn to combinatorics to examine the best changes to make within the company.‎

    Online courses can help you learn combinatorics by giving you a way to work on material at your own pace. You can slow down, speed up, or review lessons as needed. Best of all, you can work wherever you’re comfortable and have the time to completely focus on the material.‎

    You should have basic arithmetic skills before starting to learn combinatorics. It’s also helpful to have a solid understanding of algebra before taking a combinatorics course. A background in another field of math like graph theory or probability may also be beneficial.‎

    Online Combinatorics courses offer a convenient and flexible way to enhance your knowledge or learn new Combinatorics skills. Choose from a wide range of Combinatorics courses offered by top universities and industry leaders tailored to various skill levels.‎

    When looking to enhance your workforce's skills in Combinatorics, it's crucial to select a course that aligns with their current abilities and learning objectives. Our Skills Dashboard is an invaluable tool for identifying skill gaps and choosing the most appropriate course for effective upskilling. For a comprehensive understanding of how our courses can benefit your employees, explore the enterprise solutions we offer. Discover more about our tailored programs at Coursera for Business here.‎

    This FAQ content has been made available for informational purposes only. Learners are advised to conduct additional research to ensure that courses and other credentials pursued meet their personal, professional, and financial goals.

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