Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
and 
. Then the number of surjections from 
into 
is
A
B
C
D
none of these
Text Solution
Verified by ExpertsThe correct answer is:
B
If 
is a function, then 
can be chosen in two ways, 
can be chosen in two ways, 
can be chosen in two ways.
Hence, 
can be chosen in 
ways
In total there are 
functions possible. Out of these two functions 
and 
, defined as 
and 
are not surjective as range of 
is 
and 
is 
.
Hence, the number of surjections from 
to 
is 
.
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