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0 votes
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in Sets, Relations and Functions by (28.9k points)
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Write the number of elements in the power set of null set.

2 Answers

+1 vote
by (30.2k points)
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Best answer

Power set contains all the subsets of a set. 

Null set has no member in it and each set is a subset of itself (i.e. null set is the only subset of null set) 

∴ number of elements in power set of null set is1.

+1 vote
by (40 points)
if null set, then we consider it a subset of itself as it contains no elements, so no. elements in its power set would be.
If you think by formula, take n=0; 2^n=2^(0)=1 element will be present

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