Why does the exponential generating function enumerate labelled structure when it is dividing by the number...











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I have been thinking about this for awhile and looked everywhere but I haven't been able to find a satisfying answer. If we quotient out by permutations represented by the factorial, shouldn't it enumerate unlabelled structures?






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    I have been thinking about this for awhile and looked everywhere but I haven't been able to find a satisfying answer. If we quotient out by permutations represented by the factorial, shouldn't it enumerate unlabelled structures?






    combinatorics







    share|cite|improve this question
























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      I have been thinking about this for awhile and looked everywhere but I haven't been able to find a satisfying answer. If we quotient out by permutations represented by the factorial, shouldn't it enumerate unlabelled structures?






      combinatorics







      share|cite|improve this question













      I have been thinking about this for awhile and looked everywhere but I haven't been able to find a satisfying answer. If we quotient out by permutations represented by the factorial, shouldn't it enumerate unlabelled structures?






      combinatorics




      combinatorics






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked 2 days ago









      Michael Hong

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