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If A = {1/1, 1/2, 1/3,...,1/10} how many subsets does A have?

 Sep 1, 2019
edited by Guest  Sep 1, 2019
edited by Guest  Sep 1, 2019
 #1
avatar+103148 
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If a set  has n elements, then it possesses  2^n   subsets   [including the empty set ]

 

To see this....consider that every element is either  in or out of a subset....so....each element has two " states of being"

 

So....for  n elements, we have 2*2*2*2.....  = 2^n  subsets

 

So.....we have 10  members of set A

 

So....it possesses  2^10   =   1024  subsets

 

 

 

cool cool cool

 Sep 1, 2019
 #2
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+2

dont be scared of those fractions, just think of it as 1, 2, 3 ... 8, 9, 10.

Guest Sep 1, 2019

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