CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

A and B are two finite sets, such that A has p elements and B has q elements. The number of elements in the power set of A is 48 more than number of elements in the power set of B. Then select the correct statement about p & q.

A
p=4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
p=6
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
q=6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
q=4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D q=4
Given n(A)=p;n(B)=q
Now, Cardianality of power set of any set X having x elements is given as:
n(X)=x
n(P(A))=2p;n(P(B))=2q
It is given, that 2p=48+2q
2p2q=48
2q(2p2q1)=48
2q(2pq1)=48
2q(2pq1)=24(221)
Comparing, we get:
q=4;p=q+2=6

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Cardinality of Power Set of a Set
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon