n {(AxB) intersection (BXA)}= Shouldn't it be like , if A and B have one element in common then - Maths - Relations and Functions

Question

n {(AxB) intersection (BXA)}=?
Shouldn't it be like , if A and B have one element in common then ,
n {(AxB) intersection (BXA)} also be one and if A and B have 2
elements in common then , n {(AxB) intersection (BXA)} be 2 and
like wise for 3 ,4,5 But it's given that if A and B have 3 elements
in common then , n {(AxB) intersection (BXA)}=9 How is this
possible , we don't repeat same elements in the intersection of
sets Please someone explain clearly

Anuradha Sharma · Accepted Answer

Dear Student,
The general rule is:
<img src=
"https://s3mn%20mnimgs%20com/img/shared/content_ck_images/ana_qa_image_57b2f0a89359c%20png">

You may check using various example
Regards