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Explore a challenging mathematical puzzle from the 2005 AMC Mathematical Olympiad qualifier in this 13-minute video. Dive into the faulty odometer problem and learn two distinct methods to solve it. Follow along as the presenter breaks down the problem, explains each solution approach in detail, and even provides a simulation to illustrate the concept. Gain insights into problem-solving techniques, including the application of the inclusion-exclusion principle. Whether you're preparing for math competitions or simply enjoy tackling complex problems, this video offers a comprehensive look at an intriguing mathematical challenge.