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MCQMediumJEE Main 2023 · 1 February, Shift 1Applications of P&C

Mathematics Question from JEE Main 2023 · 1 February, Shift 1

The value of 11!50!+13!48!+15!46!+⋯+149!2!+151!1!\frac{1}{1!50!} + \frac{1}{3!48!} + \frac{1}{5!46!} + \dots + \frac{1}{49!2!} + \frac{1}{51!1!} is:

  • A

    25050!\frac{2^{50}}{50!}

  • B

    25051!\frac{2^{50}}{51!}

  • C

    25151!\frac{2^{51}}{51!}

  • D

    25150!\frac{2^{51}}{50!}

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