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JEE Math Practice Question

The value of $$\frac{1}{1 ! 50 !}+\frac{1}{3 ! 48 !}+\frac{1}{5 ! 46 !}+\ldots .+\frac{1}{49 ! 2 !}+\frac{1}{51 ! 1 !}$$ is :

  1. A.$$\frac{2^{51}}{50 !}$$
  2. B.$$\frac{2^{51}}{51 !}$$
  3. C.$$\frac{2^{50}}{50 !}$$
  4. D.$$\frac{2^{50}}{51 !}$$

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