**Example .1 **Find an exponential generating function for the number of permutations with repetition of length nn of the set {a,b,c}{a,b,c}, in which there are an odd number of aas, an even number of bbs, and any number of ccs.

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# Exponential Generating Functions

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**Example .1 **Find an exponential generating function for the number of permutations with repetition of length nn of the set {a,b,c}{a,b,c}, in which there are an odd number of aas, an even number of bbs, and any number of ccs.