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Subsets

Subsets[list]
gives a list of all possible subsets of list.

Subsets[list, n]
gives all subsets containing at most n elements.

Subsets[list, {n}]
gives all subsets containing exactly n elements.

Subsets[list, {n_min, n_max}]
gives all subsets containing between n_min and n_max elements.

Subsets[list, nspec, s]
gives the first s subsets.

Subsets[list, nspec, {s}]
gives the s

subset.

Subsets[list] orders subsets with shortest first, and later elements in list omitted first.

If the elements of list are in the order returned by Sort, then the complete result from Subsets[list] will also be in this order.

Subsets[list, {n_min, n_max, dn}] gives subsets containing n_min, n_min+dn, ... elements.

Subsets[list, nspec, spec] gives the same result as Take[Subsets[list, nspec], spec].

All possible subsets (power set):

All possible subsets containing up to 2 elements: