Math 2602  B1,B2                                                                             Homework #6
                                         Not Collected - for discussion only 

    (a)  Find the generating function for the numbers of ways to make selections with replacement
           from a set of 5 objects (when the order of the selections is not considered) and

           i)  The first object is obtained at least twice.

           ii)  The first object is obtained at most twice.

          iii)  No object is obtained more than 6 times.


    (b)  Find the coefficient of  x²⁰ (which gives the number of ways to make 20 selections) in each of
           the generating functions in (a).