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Q.The value of ∑k=0n(n+kk)\sum_{k=0}^{n} \binom{n+k}{k} is

a
(2n+1n)\binom{2n+1}{n}
b
(2nn)\binom{2n}{n}
c
(2n+1n+1)\binom{2n+1}{n+1}
d
(2n+1n−1)\binom{2n+1}{n-1}

Correct Answer: Option C

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

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