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

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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(35256)   (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(20056)   (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(24713)   (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
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