JEE Main 2022MathematicsFunctionsHardNumerical

JEE Main 2022 — Functions Question with Solution

JEE Main 2022 (24 Jun Shift 1)

Question

The number of one-one functions f:a,b,c,d→0,1,2,…,10 such that 2fa-fb+3fc+fd=0 is _____

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Show full solutionCorrect answer: 31
Correct answer
31

Step-by-step explanation

Given 2fa+3 fc=fb-fd

Using fundamental principle of counting,

when fc=0, fa=1 then  fb-fd=2 has 7 choices,

Similarly when fc=0, fa=2 then fb-fd has 5 choices.

Counting like this we get the total number of one-one function as 31

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About this question

This is a previous-year question from JEE Main 2022, 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.