Permutations and Combinations - Mathematics Lecture 5.5

Overview

Learn permutations and combinations through a comprehensive lecture and 58-problem practice set that spans over 2 hours. Master the fundamental differences between arrangements where order matters (permutations) and where it doesn't (combinations), using both formula-based and practical approaches. Explore factorial calculations, strategic simplification techniques, and probability applications through real-world examples. Work through carefully structured problem sets with detailed explanations, from basic concepts to complex scenarios, while learning to use calculator functions like nPr and nCr. Access downloadable textbook materials and follow along with timestamped sections that break down each concept and problem type systematically, ensuring a thorough understanding of these essential mathematical concepts.

Syllabus

Introduction
Lecture overview
Problem #1-2
Problem #3-8
Problem #9-16
Problem #17-20
Problem #21-24
Problem #25-32
Problem #33-34
Problem #35-36
Problem #37-40
Problem #41-42
Problem #43-44
Problem #45-46
Problem #47-48
Problem #49
Problem #50-51
Problem #52
Problem #53-55
Problem #56
Problem #57-58