If X $$=$$ $${1$$, $$2$$, $$3$$, $$4$$,$$}$$, then a $$one-one$$ onto mapping f: X → X such that $$f(1)$$ $$=$$ $$1$$, $$f(2)$$ ≠ $$2$$ and $$f(4)$$ ≠ $$4$$ is given by

Correct option is 1{(1, 1), (2, 3), (3, 4), (4, 2)}

Questions

If X = {1, 2, 3, 4,}, then a one-one onto mapping $f : X \to X$ such that $f (1) = 1, f (2) \neq 2 a n d f (4) \neq 4$ is given by

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{(1, 1), (2, 3), (3, 4), (4, 2)}

{(1, 1), (2, 4), (3, 1), (4, 2)}

{(1, 2), (2, 4), (3, 2), (4, 3)}

none of these

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detailed solution

Correct option is A

f in (a) is clearly one-one and onto also satisfies f(1) = 1, f(2) =3 ≠2 and f(4) =2≠ 4 .

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If X = {1, 2, 3, 4,}, then a one-one onto mapping f: X → X such that f(1) = 1, f(2) ≠ 2 and f(4) ≠ 4 is given by

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If X = {1, 2, 3, 4,}, then a one-one onto mapping $f : X \to X$ such that $f (1) = 1, f (2) \neq 2 a n d f (4) \neq 4$ is given by