Who has the wisdom to answer the following:
9 distinct marbles distrubted into 4 distinct bags with each bag receiving at least 1 marble,how many ways can this be done?
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Regards
2026-03-30 08:55:40.1774860940
Partioning Mystery
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James Stirling has the wisdom.
In this case, we multiply by $k!$ since we have labeled subsets. So the number is $$4!\ S(9,4)=186480.$$