SOLUTION: I want to make sure I did this question correct, but do not know how to upload a picture so I do hope my description helps. Write down all possible subsets of set Q using correct s

Question 626836: I want to make sure I did this question correct, but do not know how to upload a picture so I do hope my description helps. Write down all possible subsets of set Q using correct set notation?
The picture looks as followed:
Green circle with P on the outside while inside is f, h, i , s
Red circle with a Q on the outside while inside is e,p,i,s
Both circles intersect at i,s
My answers are as followed:
{i,s}
{i,e}
{i,p}
{s,i}
{s,e}
{s,p}
{e,i}
{e,s}
{e,p}
{p,i}
{p,s}
{p,e}
Thank you !!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The set Q has 4 items: e, p, i, s

One possible subset is the entire set itself {e, p, i, s}

-------------------------------------------------------
Then there are subsets that have 3 items in them:
{e,i,s}
{e,p,i}
{e,p,s}
{p,i,s}

-------------------------------------------------------
Then there are subsets that have 2 elements
{e,p}
{e,i}
{e,s}
{p,i}
{p,s}
{i,s}
-------------------------------------------------------
Then there are subsets that just have one element

{e}
{p}
{i}
{s}
-------------------------------------------------------
and finally, every subset has the empty set {}

=======================================================

So we have the subsets

{e, p, i, s}
{e,i,s}
{e,p,i}
{e,p,s}
{p,i,s}
{e,p}
{e,i}
{e,s}
{p,i}
{p,s}
{i,s}
{e}
{p}
{i}
{s}
{}

Note: there are 4 elements, so there are 2^4 = 16 subsets total
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Jim
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