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Q.The coefficient of x99x^{99} in (x1)(x2)(x100)(x-1)(x-2)\cdots(x-100) is

a
(1)99(10099)(-1)^{99} \binom{100}{99}
b
(1)100100!(-1)^{100} 100!
c
(1)99100!(-1)^{99} 100!
d
00

Correct Answer: Option C

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

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