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Q.The coefficient of x50x^{50} in the expansion of (1+x)100+(1+x)101+⋯+(1+x)150(1 + x)^{100} + (1 + x)^{101} + \cdots + (1 + x)^{150} is

a
(15150)\binom{151}{50}
b
(15050)\binom{150}{50}
c
(15151)\binom{151}{51}
d
(15051)\binom{150}{51}

Correct Answer: Option C

The correct solution involves applying the fundamental concept to derive the final value step by step...

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