SOLUTION: Please list down all the possible subset of A={1,2,3}

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Question 1084185: Please list down all the possible subset of A={1,2,3}
Found 2 solutions by Edwin McCravy, Theo:
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
There are 3 elements, so there are 23 = 8 subsets,
counting the empty set and the improper subset, which is the
whole set.

1.  { }       <--the empty set is a subset of every set.
2.  {1}
3.  {2}
4.  {3}
5.  {1,2}
6.  {1,3}
7.  {2,3}
8.  {1,2,3}   <--the only improper subset, as the other 7 
                 are proper subsets.

Edwin
Answer by Theo(13342)   (Show Source): You can put this solution on YOUR website!
your set is {1,2,3}

one possible subset is {1,2,3}

that is called an improper subset.

in general, every set is an improper subset of itself.

the other possible subsets are:

{1}
{2}
{3}
{1,2}
{1,3}
{2,3}

they are called proper subsets because the super set {1,2,3} contains at least 1 element that is not within the sub set.

therefore, all possible subsets of {1,2,3} are:

{1}
{2}
{3}
{1,2}
{1,3}
{2,3}
{1,2,3}

they include all proper subsets plus the improper subset of {1,2,3}.


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