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Wuhao
Apr 22, 2002

Pimpin' Lenin
Is there an algorithm for exhaustively generating all unordered subsets of a particular set?

Basically, if you imagine a set of 6 elements, each of which can be an integer 0-9, then there are 5005 unique, unordered sets (eg. { 0 0 0 0 0 1 } and { 1 0 0 0 0 0 } are identical). I'd like to generate all 5005 of these, without wasting any time generating duplicates (obviously, I could walk through generating all 1,000,000 ordered sets -- but then I'd just feel silly!). Is anyone aware of an algorithm which does this?

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