Question: 3.3.12 (i) If n balls are put at random into n boxes, what is the probability of exactly one box remaining empty? (ii) Suppose that

3.3.12 (i) If n balls are put at random into n boxes, what is the probability of exactly one box remaining empty? (ii) Suppose that we distribute n balls in k boxes (n 2 k ) , labeled 1, . . . , k . Show that the number of different ways this can be done, so that there is at least one ball in each box, is (:I;).

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