# SOLUTION: I don't understand this problem. Given That A= {a,b,c} 1.)List all of the subsets of A that have exactly one element. 2.)List all of the subsets of A that have exactly two e

Algebra ->  Algebra  -> Rational-functions -> SOLUTION: I don't understand this problem. Given That A= {a,b,c} 1.)List all of the subsets of A that have exactly one element. 2.)List all of the subsets of A that have exactly two e      Log On

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 Question 448585: I don't understand this problem. Given That A= {a,b,c} 1.)List all of the subsets of A that have exactly one element. 2.)List all of the subsets of A that have exactly two elements.Found 3 solutions by jim_thompson5910, Edwin McCravy, solver91311:Answer by jim_thompson5910(28717)   (Show Source): You can put this solution on YOUR website!Say you have the set {1, 2, 3}. A subset of that given set will be any set that has either 1, 2, or 3 as elements and nothing else. So the set {1,2} is a subset of the set {1,2,3} 1.)List all of the subsets of A that have exactly one element. List of subsets that have exactly one element: {a}, {b}, {c} ---------------------------------------------------------------------- 2.)List all of the subsets of A that have exactly two elements. List of subsets that have exactly two elements: {a,b}, {a,c}, {b,c} Answer by Edwin McCravy(8999)   (Show Source): You can put this solution on YOUR website!I don't understand this problem. Given That A= {a,b,c} 1.)List all of the subsets of A that have exactly one element.  {a} is a subset of {a,b,c} and it has has exactly one element. (b) is a subset of {a,b,c} and it has has exactly one element. (c) is a subset of {a,b,c} and it has has exactly one element.  2.)List all of the subsets of A that have exactly two elements.  {a,b} is a subset of {a,b,c} and it has has exactly two elements. (a,c) is a subset of {a,b,c} and it has has exactly two elements. (b,c) is a subset of {a,b,c} and it has has exactly two elements. Edwin Answer by solver91311(17077)   (Show Source): You can put this solution on YOUR website! which reads: The set A sub 1 which is equal to the set with the single element a is a subset of the set A. and which reads: The cardinality of (meaning the number of elements in) the set A sub 1 is 1 So what other sets are subsets of A and have a cardinality of 1? which reads: The set A sub alpha which is equal to the set with the elements a and b is a subset of the set A. and which reads: The cardinality of the set A sub alpha is 2 So what other sets are subsets of A and have a cardinality of 2? John My calculator said it, I believe it, that settles it