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Q.The value of r=0n1(2rr)(2(nr)nr)\sum_{r=0}^{n} \dfrac{1}{\binom{2r}{r} \binom{2(n-r)}{n-r}} is

a
n+122n\dfrac{n+1}{2^{2n}}
b
2n+122n+1\dfrac{2n+1}{2^{2n+1}}
c
n+122n+1\dfrac{n+1}{2^{2n+1}}
d
n22n\dfrac{n}{2^{2n}}

Correct Answer: Option C

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

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