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Twelvefold way
In
combinatorics
, the
twelvefold way
is a name given to a systematic classification of 12 related enumerative problems concerning two finite sets, which include the classical problems of
counting
permutations
,
combinations
,
multisets
, and partitions either
of a set
or
of a number
. The idea of the classification is credited to
Gian-Carlo Rota
, and the name was suggested by
Joel Spencer
.
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