Find the probabilities that (a) On the k-th day (k < n), there will be a division

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Find the probabilities that

(a) On the k-th day (k < n), there will be a division that will not have been inspected;

(b) On the kth day (k < n), each division will have been inspected;

(c) On the (n + 1)th day, each division will have been inspected.

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