AP EAMCET202021 Sep 2020Evening ShiftMathematicsFunctionsActual

Let (S ) be a finite set. Then a non-identity function (f: S S ) can be

Options

AInjective but not surjective
BSurjective but not injective
CBijective but it does not have an inverse function
DData insufficient

Correct answer

D. Data insufficient

Step-by-step solution

It is given that for a finite set ( S , f: S S ) is non-identity function, then it can be injective only or surjective only or both or none. So, data is insufficient to answer. Hence, option (d) is correct.

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