Explore fundamental concepts in probability through this 18-minute video lecture on combinatorics and the factorial. Learn to count event occurrences, such as getting 5 heads in 10 coin flips or dealing 5-card hands from a 52-card deck. Dive into sampling with and without replacement, and master formulas for computing probabilities. Understand the application of factorials in probability calculations, generalized order-matters formulas, and order-agnostic formulas with permutations. Apply your knowledge to real-world examples like calculating possible license plate combinations. Produced at the University of Washington with funding support from the Boeing Company, this comprehensive overview equips you with essential tools for tackling probability problems.