This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.2)

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, {nmin, nmax}]
gives all subsets containing between nmin and nmax elements.
Subsets[list, nspec, s]
gives the first s subsets.
Subsets[list, nspec, {s}]
gives the s^(th) subset.
  • Subsets[list] gives the power set of list.
  • 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, {nmin, nmax, dn}] gives subsets containing nmin, nmin+dn, ... elements.
  • Subsets[list, nspec, spec] gives the same result as Take[Subsets[list, nspec], spec].
New in 5.1