5 votes 5 votes The power set of the set $\{ \Phi \}$ is $\{ \Phi \}$ $\{ \Phi, \{ \Phi \} \}$ $\{ 0 \}$ $\{ 0, \Phi , \{ \Phi \} \}$ Set Theory & Algebra goclasses2025_cs_wq4 goclasses set-theory&algebra set-theory power-set 1-mark + – GO Classes asked Apr 3 GO Classes 102 views answer comment Share Follow See 1 comment See all 1 1 comment reply lone avenger commented Apr 3 reply Follow Share Generally people confused in this by seeing empty set so consider this example A = { a } what is the power set of this set your answer will be p(A) = { $\Phi$ , {a} } SO , If you want to find Power set of A = {$\Phi$} Then the p(A) is = {$\Phi$ ,{$\Phi$}} 2 votes 2 votes Please log in or register to add a comment.
3 votes 3 votes Detailed Video Solution: https://youtu.be/mOfUwNN2JP8?si=ZS1B0PePRJHaio7h&t=1770 Source: https://gateoverflow.in/56502/ugc-net-cse-december-2012-part-2-question-4 If A is a finite set then set of all subset of A is called power set A denoted by P(A) Here, A=$\{ \Phi \}$ P(A)=$\{ \Phi, \{ \Phi \} \}$ Hence,Option(B)$\{ \Phi, \{ \Phi \} \}$ is the correct choice. GO Classes answered Apr 3 • edited Apr 4 by GO Classes Support GO Classes comment Share Follow See all 0 reply Please log in or register to add a comment.
