Algorithm to generate a list of unique combinations based on a list of numbers

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Published on 2010-05-06T06:58:41Z Indexed on 2010/05/06 7:08 UTC
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possible-homework

I would like to efficiently generate a unique list of combinations of numbers based on a starting list of numbers.

example start list = [1,2,3,4,5] but the algorithm should work for [1,2,3...n]

result =

[1],[2],[3],[4],[5] [1,2],[1,3],[1,4],[1,5] [1,2,3],[1,2,4],[1,2,5] [1,3,4],[1,3,5],[1,4,5] [2,3],[2,4],[2,5] [2,3,4],[2,3,5] [3,4],[3,5] [3,4,5] [4,5]

Note. I don't want duplicate combinations, although I could live with them, eg in the above example I don't really need the combination [1,3,2] because it already present as [1,2,3]

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