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The value of \(\frac{{}^{100}C_{50}}{51}+\frac{{}^{100}C_{51}}{52}+\ldots +\frac{{}^{100}C_{100}}{101}\) is: [JEE Main 2…

Q1

The value of \(\frac{{}^{100}C_{50}}{51}+\frac{{}^{100}C_{51}}{52}+\ldots +\frac{{}^{100}C_{100}}{101}\) is:

[JEE Main 2026, 23 Jan (Shift 1)]

a

\(\frac{{2}^{100}}{100}\)

b

\(\frac{{2}^{101}}{101}\)

c

\(\frac{{2}^{101}}{100}\)

d

\(\frac{{2}^{100}}{101}\)

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