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Q.The value of r=0100(100r)(100100r)\sum_{r=0}^{100} \binom{100}{r} \binom{100}{100-r} is

a
(200100)\binom{200}{100}
b
(200100)2100\binom{200}{100} 2^{100}
c
22002^{200}
d
(10050)2\binom{100}{50}^2

Correct Answer: Option A

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

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