The number of bijective functions $f :\{1,3,5, 7, \ldots \ldots . .99\} \rightarrow\{2,4,6,8, \ldots \ldots, 100\}$, such that $f(3) \geq f(9) \geq f(15) \geq f(21) \geq \ldots \ldots f(99), \quad$ is

  • [JEE MAIN 2022]
  • A

    ${ }^{50} P _{17}$

  • B

    ${ }^{50} P _{33}$

  • C

    $33 ! \times 17 !$

  • D

    $\frac{50 !}{2}$

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