SOLUTION: A subset of a given set may contain no elements, all the elements of the given set, or some of the elements of the given set. How many subsets can be found in {a,b,c,d,e,f,g}?

Algebra ->  sets and operations -> SOLUTION: A subset of a given set may contain no elements, all the elements of the given set, or some of the elements of the given set. How many subsets can be found in {a,b,c,d,e,f,g}?      Log On


   



Question 1116290: A subset of a given set may contain no elements, all the elements of the given set, or some of the elements of the given set. How many subsets can be found in
{a,b,c,d,e,f,g}?

Answer by ikleyn(52866) About Me  (Show Source):
You can put this solution on YOUR website!
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Well known fact is that the finite set consisting of N elements,  has exactly  2%5EN subsets of the type described in the condition.


The given set has 7 elements;  Hence, the number of all subsets is  2%5E7 = 128.


Answer.  The number of all subsets is  2%5E7 = 128.

Solved.


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