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Suppose there are n balls to be distributed into 1' boxes. (a) If all 11 balls must be distributed, how many dierent distributions are possible if each ball is distin~ guishable? (b) If all 71 balls must be distributed, how many different distributions are possible if the n balls are indistinguishable and no box can be empty? (0) If all n balls must be distributed, how many different distributions are possible if the n balls are indistinguishable and one or more boxes can be empty? (d) If not all balls are to be distributed, how many different distributions are possible if the n balls are indistinguishable and one or more boxes can be empty