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GO Classes CS 2025 | Weekly Quiz 4 | Set Theory | Question: 1

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Detailed Video Solution with timestamp: https://youtu.be/mOfUwNN2JP8?si=h7nqI_5ZaXW-ZO6e&t=49

Source: https://gateoverflow.in/336424/nielit-2017-july-scientist-b-it-section-b-11 

The cardinality of any set is the size of the set or the total number of elements present in the set.

For a given set $A$ Power set of $A$ is set of all the subsets of set $A$

Let $P=\left\{0,1,2\right\}\implies P(A)=\left\{\phi,\left\{0\right\},\left\{1\right\},\left\{2\right\},\left\{0,1\right\},\left\{0,2\right\},\left\{1,2\right\},\left\{0,1,2\right\}\right\}$

So cardinality of $P(A)\implies 8 $ elements.

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