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Explore a deceptively simple Apple interview puzzle about counting paths on a grid in this 12-minute mathematical video. Tackle the challenge of determining how many different routes exist between two points on a grid, discovering that this seemingly straightforward problem reveals surprising mathematical patterns and connections. Learn multiple solution approaches, starting with a computer-based method before diving into a detailed long-form mathematical solution, then master an elegant shortcut technique that dramatically simplifies the calculation. Uncover the deep mathematical principles behind path counting problems and see how they connect to broader combinatorial concepts, making this brain teaser both intellectually satisfying and practically useful for interview preparation.
