Math 2602  B1 , B2                                                                            Homework  #6
                                         Due Thursday, September 30, 2004


(a)   Find the generating function for the number of ways to distribute indistinguishable objects to four
       (distinguishable) locations so that

        i)  the first location receives at least two objects.

       ii)  the first location receives at most two objects.

      iii)  each location receives at most four objects.


 (b)  Find the coefficient of  x¹²  (which gives the number of ways to distribute 12 objects) in each of the
       generating functions of (a).