Question

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)

Answer #1

Discrete Math question (generating functions)
Use the generating function method to find how many ways 10
identical Green Tree Pythons can be distributed within four
numbered cages, where the first two of their new homes require an
even (but non-zero) number of snakes, the third cage must have an
odd number, and with the last cage holding at least three
reptiles?

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