Anonymous
Anonymous asked in 社會與文化語言 · 7 years ago

Question from my assignment

1)

What is the power set of {a,2,c}?

What is the cardinality of the power set?

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  • 7 years ago
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    1) What is the power set of {a,2,c}?

    In mathematics, the power set (or powerset) of any set S, written P(S), is the set of all subsets of S, including the empty set and S itself.

    So, the power set of { a,2,c} = { { }, {a}, {2}, {c}, {a,2}, {a,c}, {2,c}, {a,2,c} }

    請參考http://wikipedia/wiki/Power_set

    2) What is the cardinality of the power set?

    In mathematics, the cardinality of a set is a measure of the "number of elements of the set".

    There are 8 subsets in the above power set, so the cardinality of this power set is 8.

    請參考 http://en.wikipedia.org/wiki/Cardinality

    2013-03-26 10:43:45 補充:

    http://en.wikipedia.org/wiki/Power_set

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