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A city has 10 highways and 10 traffic police units. Each day, each unit picks one highway at random to patrol. What is the probability

A city has 10 highways and 10 traffic police units. Each day, each unit picks one highway at random to patrol. What is the probability that at most two highways are unpatrolled if: (a) different units can pick the same way to patrol? (b) different units cannot pick the same way to patrol?

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