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Question

Let f: {1, 2, 3} → {1, 2, 3} be an onto function. Then, f is



Your Answer
A

onto only

Correct Answer
B

one-one and onto

Your Answer
C

insufficient information

Your Answer
D

not one one


Solution

The correct option is D

one-one and onto


If f is not one-one, then image of any two elements of domain, say 1 and 2 will have same image, say 1 in the codomain.

That means, element 3 of domain can be mapped with any of the two elements 2 or 3 in codomain, leaving one element in the codomain unmapped which is a contradiction.

Hence, f is one-one.

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