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Mathematics 22 Online
OpenStudy (anonymous):

list all the subsets of each set. {dog, cat, fish}

OpenStudy (anonymous):

oh wow

OpenStudy (danjs):

i am thinking it is just all the combinations of 2 of the things, or 1 of the tings

OpenStudy (anonymous):

would they be written like this . . . {dog, cat} or like this . . . dog,cat

OpenStudy (danjs):

{dog,cat} is a subset of it {dog, fish} {dog} {fish} ...exe

OpenStudy (danjs):

and the trivial answer { }

OpenStudy (danjs):

empty set

OpenStudy (anonymous):

cool thanks :) What's a trivial answer ?

OpenStudy (danjs):

an empty set, { }

OpenStudy (anonymous):

Would that be a subset?

OpenStudy (danjs):

a group is a subset if it is contained within the larger set

OpenStudy (danjs):

so it is all sets of 3, 2 or 1 of those elements, and the empty set { }

OpenStudy (danjs):

The empty set { } is a subset of any given set

OpenStudy (anonymous):

So if I were to list all of the subsets, that would be one of the ones listed ?

OpenStudy (danjs):

so {dog,cat fish} is a subset of {dog,cat,fish}

OpenStudy (danjs):

it would be all combinations of 2 of the things, and {dog, cat, fish} , and { } empty

OpenStudy (danjs):

and each of them by themselves

OpenStudy (danjs):

just make sure nothing is listed twice

OpenStudy (danjs):

Subsets: {dog,cat,fish} {dog,cat} {dog,fish} {cat,fish} {dog} {cat} {fish} { }

OpenStudy (danjs):

can you think of any more?

OpenStudy (anonymous):

Is that all of them ?

OpenStudy (danjs):

are there any more that we havent listed yet

OpenStudy (danjs):

any other set of 2?

OpenStudy (danjs):

i think that is all of em

OpenStudy (anonymous):

Oh Thanks so Much ! :)

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