Question 165241: Let c = {p,l,u,s}. How many subsets does c have?
Found 2 solutions by mathispowerful, jim_thompson5910:
Answer by mathispowerful(115)   (Show Source):
You can put this solution on YOUR website! Let c = {p,l,u,s}. How many subsets does c have?
number of subset =  ,
where n is the number of elements in the set
so the answer is  = 16 subsets.
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website! Subsets of c (16 total):
{p,l,u,s},
{p,l,u},{p,l,s},{p,u,s},{l,u,s}
{p,l},{p,u},{p,s},{l,u},{l,s},{u,s}
{p},{l},{u},{s}
{}
Note: {} denotes the empty set
To help confirm (not completely verify) that we have the right answer, notice how there are 16 subsets. It turns out that for any set A of "n" elements, the total number of subsets of set A is . Since there are 4 elements in set c, and  , this helps confirm that we at least have the right number of subsets listed.
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