Question: 4. Build a generating function for ar, the number of distributions of r identical objects into (a) Five different boxes with at most three objects

4. Build a generating function for ar, the number of distributions of r identical

objects into

(a) Five different boxes with at most three objects in each box

(b) Three different boxes with between three and six objects in each box

(c) Six different boxes with at least one object in each box

(d) Three different boxes with at most five objects in the first box

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