If $A = \{ 1,\,2,\,3,\,4\} $; $B = \{ a,\,b\} $ and $f$ is a mapping such that $f:A \to B$, then $A \times B$ is

  • A

    $\{(a, 1), (3, b)\}$

  • B

    $\{(a, 2), (4, b)\}$

  • C

    $\{(1, a), (1, b), (2, a), (2, b), (3, a), (3, b), (4, a), (4, b)\}$

  • D

    None of these

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