23 votes 23 votes The cardinality of the power set of $\{0, 1, 2, \dots , 10\}$ is _______ Set Theory & Algebra gatecse-2015-set2 set-theory&algebra set-theory easy numerical-answers + – go_editor asked Feb 12, 2015 • retagged Dec 19, 2015 by Arjun go_editor 5.2k views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
Best answer 36 votes 36 votes Answer: $2048$ For any set $S$ having $n$ elements, the number of elements in power set $P(S)$ is $2^n$. The term cardinality means the number of elements present in the set. Number of elements in set $= 11.$ Therefore, cardinality of power set $= 2^{11} = 2048.$ Rajarshi Sarkar answered Feb 12, 2015 • edited Dec 12, 2023 by Hira Thakur Rajarshi Sarkar comment Share Follow See all 0 reply Please log in or register to add a comment.
11 votes 11 votes The cardinality of the power set of $\left \{ 0,1,2,..,10 \right \}$ is _______ Total number of elements in given set is $11$. So the cardinality of the power set of given set will be $2^{11}$ $= >$ $2048$ rpdhakad answered Jul 12, 2015 • edited Jun 8, 2018 by Milicevic3306 rpdhakad comment Share Follow See all 0 reply Please log in or register to add a comment.
4 votes 4 votes Let, A ={0,1,2,3,,,10} | A| = 11 | p(A)| = 2^11 =2048. The correct answer is 2048. Warrior answered Jul 30, 2017 Warrior comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes 2^11 is the number of elements in power set for this so it is 2048. eshita1997 answered Jan 6, 2021 eshita1997 comment Share Follow See all 0 reply Please log in or register to add a comment.