JEE Main 2023MathematicsFunctionsFunctional EquationsmediumNumerical

JEE Main 2023Functions Question with Solution

From: JEE Main 2023 (Online) 30th January Evening Shift

Question

Let . Then the number of possible functions such that for every with is equal to ___________.

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Show full solutionCorrect answer: 432
Correct answer
432

Step-by-step explanation

.

Hence, the possibilities for are and .

Other three i.e.

Can be chosen in 6 ways.

Hence, total number of functions

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About this question

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.