Consider the situation that we have 4 servers, each of which needs to be down for one day (a particular date, NOT a rolling window of 24 hours) for maintenance. Suppose that for each server, we randomly select a day in April (which has 30 days) as the maintenance day. Answer the following questions: (a) What's the probability that all 4 servers have the same maintenance day?    (b) What's the probability that each server has a distinct maintenance day?   (c) What's the probability that at least 2 servers have the same maintenance day?

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