Use generating functions to determine the number of 9-digit sequences of the digits 1,2,3,4,5,and 6 in which each even digit  occurs an even number of times and simultaneously each odd digit occurs an odd number of times.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 72E
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Use generating functions to determine the number of 9-digit sequences of the digits 1,2,3,4,5,and 6 in which each even digit  occurs an even number of times and simultaneously each odd digit occurs an odd number of times. 

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