JEE Main 2025 — Functions Question with Solution
JEE Main 2025 (22 Jan Shift 2)
Question
Let and . Then the number of many-one functions such that is equal to :
Choose an option
Show full solutionCorrect option: A
Correct answer
A151
Step-by-step explanation
$\begin{aligned}
& A=\{1,2,3,4\} \\
& B=\{1,4,9,16\}
\end{aligned}$
Total number of functions
Total number of one-one functions
Total number of many one functions
Total number of many-one functions in which
Total number of many one functions
$\begin{aligned}
& =232-81 \\
& =151
\end{aligned}$
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This is a previous-year question from JEE Main 2025, covering the Functions chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.