JEE Main 2023 — Functions Question with Solution
From: JEE Main 2023 (Online) 8th April Evening Shift
Question
Let and . Total number of onto functions such that , is equal to ______________.
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Show full solutionCorrect answer: 180
Correct answer
180
Step-by-step explanation
Total number of onto functions
When , number of onto functions
So, required number of onto functions
When , number of onto functions
So, required number of onto functions
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This is a previous-year question from JEE Main 2023, 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.