AP EAMCET · Maths · Functions
Let \(S\) be a finite set. Then a non-identity function \(f: S \rightarrow S\) can be
- A Injective but not surjective
- B Surjective but not injective
- C Bijective but it does not have an inverse function
- D Data insufficient
Answer & Solution
Correct Answer
(D) Data insufficient
Step-by-step Solution
Detailed explanation
It is given that for a finite set \(\mathrm{S}, f: S \rightarrow S\) 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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