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Homework Question 9: (10 pts) Show your work a) Use generating functions to determine the number...

Homework Question 9: (10 pts) Show your work
a) Use generating functions to determine the number of different ways ten cookies can be distributed among three children so that each child receives at least two cookies but no more than five. (4 pts)

b) Find the closed form for the generating functions for the following sequence: 0,0,1,2,4,8,… (3 pts)

c) Find the coefficient of x^8 in the power series expansion of G(x)=x^2/(1+5x) (3 pts)

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