4 votes 4 votes What is the Cardinality of the Power set of the set $\{0,1,2\}$? $8$ $6$ $7$ $9$ Set Theory & Algebra goclasses2025_cs_wq4 goclasses set-theory&algebra set-theory power-set 1-mark + – GO Classes asked Apr 3 GO Classes 279 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
1 votes 1 votes 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. 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.
