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In: Advanced Math

This is a combinatorics problem Suppose we wish to find the number of integer solutions to...

This is a combinatorics problem

Suppose we wish to find the number of integer solutions to the equation below, where 3 ≤ x1 ≤ 9, 0 ≤ x2 ≤ 8, and
7 ≤ x3 ≤ 17.

x1 + x2 + x3 = r

Write a generating function for this problem, and use it to solve this problem for r = 20.

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