Build a generating function f(x) for, the number of integer solutions to the equation e 1 e 2 e 3 15 where e i are nonnegative integers with 3 e 1 5, 4 e 2 6, and 4 e 3 7 a) Determine the number of solutions b) Make a list all of the solutions

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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 e_i 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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