JEE Main 2026 — Functions Question with Solution
JEE Main 2026 (23 January Shift 2)
Question
Consider two sets and . Then the number of onto functions is equal to
Choose an option
Show full solutionCorrect option: C
Correct answer
C62
Step-by-step explanation
For set :
.
If : .
If : .
So , .
For set :
with .
Either (since ), or (since ).
So , .
Number of onto functions from to .
.
If : .
If : .
So , .
For set :
with .
Either (since ), or (since ).
So , .
Number of onto functions from to .
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