Mastering Combinatorics: Key Concepts in Counting, Arrangements & Search Algorithms ๐
Dive into Lec No 25 of The Learning Studio's Mathematics Series to understand combinatorics, complexity analysis, and search algorithms used in mathematics and AI. Perfect for learners aiming to boost their problem-solving skills!

The Learning Studio
14 views โข Oct 18, 2025

About this video
Welcome to The Learning Studio! ๐
In this twenty-fifth episode of our Mathematics Series, we explore Combinatorics โ the art of counting, arranging, and optimizing possibilities โ a field that forms the mathematical foundation of algorithms, optimization, and AI problem-solving.
In this video, youโll learn:
The fundamentals of Combinatorics โ permutations, combinations, and discrete structures.
How it connects to complexity analysis and helps determine algorithm efficiency.
The role of search algorithms and combinatorial optimization in computer science and artificial intelligence.
How combinatorial thinking drives breakthroughs in data structures, machine learning, and operations research.
Why understanding combinatorics is key to tackling NP-hard problems, scheduling, and large-scale optimization in AI systems.
๐ Watch the complete playlist here:
https://www.youtube.com/playlist?list=PLApF_cRnlGixqXyo5SL_bXY18Dth6B7ml
๐ Follow us for upcoming episodes on Probability, Statistics, Numerical Analysis, Real & Complex Analysis, and more advanced math powering AI and technology.
https://www.youtube.com/@UCcB64uVymo0YHIUmthy2Ubg
๐ Whether youโre a student of computer science, a data scientist, or simply curious about how math powers intelligent systems, this episode will show you how Combinatorics turns complexity into structure โ and problems into patterns.
In this twenty-fifth episode of our Mathematics Series, we explore Combinatorics โ the art of counting, arranging, and optimizing possibilities โ a field that forms the mathematical foundation of algorithms, optimization, and AI problem-solving.
In this video, youโll learn:
The fundamentals of Combinatorics โ permutations, combinations, and discrete structures.
How it connects to complexity analysis and helps determine algorithm efficiency.
The role of search algorithms and combinatorial optimization in computer science and artificial intelligence.
How combinatorial thinking drives breakthroughs in data structures, machine learning, and operations research.
Why understanding combinatorics is key to tackling NP-hard problems, scheduling, and large-scale optimization in AI systems.
๐ Watch the complete playlist here:
https://www.youtube.com/playlist?list=PLApF_cRnlGixqXyo5SL_bXY18Dth6B7ml
๐ Follow us for upcoming episodes on Probability, Statistics, Numerical Analysis, Real & Complex Analysis, and more advanced math powering AI and technology.
https://www.youtube.com/@UCcB64uVymo0YHIUmthy2Ubg
๐ Whether youโre a student of computer science, a data scientist, or simply curious about how math powers intelligent systems, this episode will show you how Combinatorics turns complexity into structure โ and problems into patterns.
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Video Information
Views
14
Duration
3:18
Published
Oct 18, 2025
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