JEE Main 2020MathematicsFunctionsHardNumerical

JEE Main 2020Functions Question with Solution

JEE Main 2020 (05 Sep Shift 2)

Question

Let A={a,b,c} and B={1,2,3,4}. Then the number of elements in the setC={f:AB2f(A) and f is not one-one} is

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Show full solutionCorrect answer: 19
Correct answer
19

Step-by-step explanation

only '2' in range 1 function.

Total no of many one function without any condition = 60-24=40.

Number of many one function with 2 is not in range =27-6 =21.

Therefore no of not one-one functions with 2 in range = 40-21=19.

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About this question

This is a previous-year question from JEE Main 2020, 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.