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From Wikipedia, the free encyclopedia:
In mathematics, the power set (or powerset) of any set S is the set of all subsets of S, including the empty set and S itself.
https://en.wikipedia.org/wiki/Power_set
If the given set has n elements, then the power set has elements.
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What is written in your post and what does it mean, is difficult understand to me.
Still, I hope and expect, that my response is clear and understandable.
See the lesson
- How many subsets are there in a given finite set of n elements?
in this site.