SOLUTION: Enumerate all the subsets of the set 5={1,3,5,7}.How many subsets are there altogether?

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Question 1080696: Enumerate all the subsets of the set 5={1,3,5,7}.How many subsets are there altogether?

Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E4=16 subsets
.
.
.
{1}
{3}
{5}
{7}
{1,3}
{1,5}
{1,7}
{3,5}
{3,7}
{5,7}
{1,3,5}
{1,3,7}
{1,5,7}
{3,5,7}
{1,3,5,7}
{Empty Set}

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
If the number of elements in the finite set is equal to n, then the number os all subsets of this set is equal to 2%5En.

It includes the empty set and the subset which coincides with the given set.
The last subset is called "improper subset".


See the lesson
    - How many subsets are there in a given finite set of n elements?
in this site.