GO Classes CS 2025 | Weekly Quiz 4 | Set Theory | Question: 7

Answer 1

Detailed Video Solution with time stamp: https://youtu.be/mOfUwNN2JP8?si=GF2e0quarqJkRRrv

Source: https://gateoverflow.in/336426/nielit-2017-july-scientist-b-it-section-b-9 

Powerset of empty set is $\{ \phi \}$. $\{ \phi \}$ has two subsets, $ \phi $ , $\{ \phi \}$.

So, answer will be Option B. Powerset of empty set has exactly TWO subsets.

Comments

Shouldn't it be powerset of a set containing empty set then the above answer can be valid?

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yeah,also did the same mistake and while giving the ans I also thought that , it should not be that easy, because it's a weekly quiz 🤣🤣🤣

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A very silly mistake I have calculated subset of an empty set

Answer 2

Basically, the Power set of Empty Set has cardinality 1.

But here the question is how many subsets the power set of empty set has,

The number of elements in the Power set of empty set is 1, so the number of Subsets for this is 2 power 1=2.

This question is tricky in words. Concept is pretty simple