JEE MATHEMATICS MCQ: FUNCTIONS

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Consider the following statements.

Statement-I: An onto function

{f}:\{1,2,3\} \rightarrow\{1,2,3\}

is always one-one.

Statement-II: A one-one function

{f}:\{1,2,3\} \rightarrow\{1,2,3\}

must be onto.

View answer and explanation

Correct option: C

Both I and II are true

Option C (Both I and II are true) is correct because for a function from a finite set to itself, being onto implies being one-to-one, and vice versa.

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