Let $S=\{1,2,3,4,5,6\} .$ Then the probability that a randomly chosen onto function $\mathrm{g}$ from $\mathrm{S}$ to $\mathrm{S}$ satisfies $g(3)=2 g(1)$ is :

  • [JEE MAIN 2021]
  • A

    $\frac{1}{10}$

  • B

    $\frac{1}{15}$

  • C

    $\frac{1}{5}$

  • D

    $\frac{1}{30}$

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