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JEE Math Practice Question

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

  1. A.$${ }^{50} P_{17}$$
  2. B.$${ }^{50} P_{33}$$
  3. C.$$33 ! \times 17$$!
  4. D.$$\frac{50!}{2}$$

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