The value of (100 C₅₀)/51 + (100 C₅₁)/52 + … + (100 C₁₀₀)/101 is: | JEE Main 2026 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2026 · 23 January, Shift 1Simple Applications

The value of $\frac{100 C_{50}}{51} + \frac{100 C_{51}}{52} + \dots + \frac{100 C_{100}}{101}$ is :

A
$\frac{2^{100}}{100}$
B
$\frac{2^{101}}{100}$
C
$\frac{2^{101}}{101}$
D
$\frac{2^{100}}{101}$

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