Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The number of functions 
from 
onto 
such that 
is a multiple of 
, whenever 
is a multiple of 
is:
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
C
JEE Main 2019
Domain and codomain 
There are five multiple of 
as 
and 
. and there are 
multiple of 
as 
Since, when ever k ismultiple of 
then 
is multiple of 
then total number of arrangement
Remaining 
elements can be arranged in 
Ways.
Since, for every input, there is an output
function 
in onto
Total number of arrangement 
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