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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: [JEE Main 2…

Q1

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:

[JEE Main 2023, 1 Feb (Shift 1)]

a

\(\frac{{2}^{50}}{50!}\)

b

\(\frac{{2}^{50}}{51!}\)

c

\(\frac{{2}^{51}}{51!}\)

d

\(\frac{{2}^{51}}{50!}\)

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