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

Let A = {1, 2, 3}. The total number of distinct relations that can be defined over A is


A

29

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

6

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

8

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

29


n ( A × A) = n(A)n(A) = 32 = 9

So, the total number of subsets of A × A is 29

and a subset of A × A is a relation over the set A .


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Cartesian Product
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon