Question 1000787
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The set consisting of  n  elements,  has  {{{2^n}}}  subsets,  including itself and the empty subset.


The set consisting of  5  elements  (the given case),  has  {{{2^5}}} = 32  subsets,  including itself and the empty subset.


See the lesson &nbsp;<A HREF=http://www.algebra.com/algebra/homework/word/misc/How-many-subsets-are-there-in-a-given-finite-set-of-n-elements.lesson>How many subsets are there in a given finite set of n elements?</A>&nbsp; in this site.