Combinatorics Explained | Complexity Analysis & Search Algorithms in Mathematics and AI | Lec No 25

Welcome to The Learning Studio! 🎓 In this twenty-fifth episode of our Mathematics Series, we explore Combinatorics — the art of counting, arranging, and optimizing possibilities — a field that forms the mathematical foundation of algorithms, optimization, and AI problem-solving. In this video, you’ll learn: The fundamentals of Combinatorics — 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. 📌 Watch the complete playlist here: https://www.youtube.com/playlist?list=PLApF_cRnlGixqXyo5SL_bXY18Dth6B7ml 📌 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 👉 Whether you’re 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 — and problems into patterns.