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Engineering, 21.01.2020 03:31 matthewquattlebum

Twenty distinct cars park in the same parking lot every day. ten of these cars are us-made, while the other ten are foreign-made. the parking lot has exactly twenty spaces, all in a row. so the cars park side by side. however, the drivers have varying schedules, so the position any car might take on a certain day is random. in how many different ways can the cars line up? what is the probability that on a given day, the cars will park in such a way that they alternate (no two us-made are adjacent and no two foreign-made are adjacent)?

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