wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

How many elements are there in the power set of set A = {{ϕ}, {ϕ, {ϕ}}}?

A
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
8
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 4
A = {{ϕ}, {ϕ, {ϕ}}}
So, set A consists of two elements i.e., {ϕ} and {ϕ, {ϕ}}
So, the number of elements in the power set of Set A is 22=4.

flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Venn Diagrams
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon