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The value of $\sum_{k = 0}^{n} (^{4 n + 1} C_{k} +^{4 n + 1} C_{2 n - k})$ is

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24n+4n+1C2n

24n+1

24n

24n+1+4n+1Cn

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detailed solution

Correct option is A

∑k=0n 4n+1Ck+4n+1C2n−k=∑k=02n 4n+1Ck+4n+1C2n=24n+4n+1C2n

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The value of ∑k=0n 4n+1Ck+4n+1C2n−k is

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The value of $\sum_{k = 0}^{n} (^{4 n + 1} C_{k} +^{4 n + 1} C_{2 n - k})$ is