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in Sets, Relations and Functions by (28.9k points)
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If a set contains n elements, then write the number of elements in its power set.

2 Answers

+1 vote
by (30.2k points)
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Best answer

Let A be the set with n elements. 

Then power set of A contains all the subsets of A. 

Each member of A has two possibilities either present or absent. 

⇒ Total possible subsets of A are 2×2×2×…n times= 2n 

∴ number of elements in power set of A are 2n.

+1 vote
by (40 points)

2n elements are present in power set.

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