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?

Rating
• 7 years ago

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} }

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.

2013-03-26 10:43:45 補充：

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