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?
combinatorics
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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
add a comment |
up vote
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up vote
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down vote
favorite
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
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
asked 2 days ago


Michael Hong
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