IIT JEE 1982 Maths - 'Adapted' - Subjective to Multi-Correct Q1

Let $f$ be a one-one function with domain {x, y, z} and range {1, 2, 3}. It is given that exactly one of the following statements is true and the remaining two are false:

• $f(x)=1$
• $f(y)≠1$
• $f(z)≠2$

Then which of the following is/are true about the function $f^{-1}$ ?

• (A) $f^{-1}(1)=x$
• (B) $f^{-1}(2)=y$
• (C) $f^{-1}(3)=z$
• (D) None of the others

Enter your answer as a 4 digit string of 1s and 9s - 1 for correct option, 9 for wrong. Eg. 1199 indicates A and B are correct, C and D are incorrect. None, one or all may also be correct.

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