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 and elements.

Subsets[list,nspec,s]
limits the result to the first s subsets.

Subsets[list,nspec,{s}]
gives if possible the ^(th) subset.

DetailsDetails

  • 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,All] is equivalent to Subsets[list].
  • Subsets[list,{nmin,nmax,dn}] gives subsets containing , , elements.
  • Subsets[list,nspec,spec] gives the same result as Take[Subsets[list,nspec],spec], provided that the elements specified by spec are present.
Introduced in 2004
(5.1)