Question: Build a generating function f(x) for, the number of integer solutions to the equation e 1 + e 2 + e 3 = 15 where

Build a generating function f(x) for, the number of integer solutions to the equation

e1 + e2 + e3 = 15 where ei are nonnegative integers with 3 e1 5, 4 e2 6, and 4 e3 7.

a) Determine the number of solutions

b) Make a list all of the solutions.


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