Let \(A = \{1, 2, 3\}\) and let \(f : A \to A\) be a one-one function with \(f(1) = 3\) and \(f(2) = 1\). Then \(f(3)\) is equal to
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 2
Since f is one-one, different elements of A must have different images.
\(f(3) \ne f(1) = 3\)
\(f(3) \ne f(2) = 1\)
The value \(f(3)\) must still be an element of \(A = \{1, 2, 3\}\), and the only element left is 2.
\(f(3) = 2\)