How are you supposed to go about putting together the power set of a set of sets such as(adsbygoogle = window.adsbygoogle || []).push({});

X = {{1},{1,2}}

What is the power set of X then? And what's the rule for calculating cardinality for the power set of a set that consists of elements which are sets such as the above? Because the set X to my understanding has 2 elements, both of which are sets... so the power set of X doesn't consist of only 4 elements, does it?

There are:

{}, {1}, {1,2}, {{1},{1,2}}

Or is that really all?

Please help clarify this to me, thanks so much.

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# Power set of a set of sets

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