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How many different integer solutions are there to the equation x1 + x2 + x3 +...

How many different integer solutions are there to the equation x1 + x2 + x3 + x4 + x5 + x6 + x7 = 23, 0 ≤ xi ≤ 9 ?

(a) (2 points) Solve the problem by using Inclusion-Exclusion Formula. (b) (2 points) Check whether your solution obtained from part

(a) is right by using the generating function method.

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