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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