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Q.The coefficient of x99x^{99} in (1+x)100+x(1+x)99+x2(1+x)98+⋯+x100(1+x)^{100} + x(1+x)^{99} + x^2(1+x)^{98} + \cdots + x^{100} is

a
(10099)\binom{100}{99}
b
(10199)\binom{101}{99}
c
(1001)\binom{100}{1}
d
(20099)\binom{200}{99}

Correct Answer: Option B

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

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