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JEE Main Mathematics question

MathematicsBinomial TheoremJEE Main

If , then the value of is

Answer: (A)

Solution

Sum over all ordered pairs with : \sum(r+s)(C_r+C_s)=(n+1)\sum rC_r+\sum_{r,s}rC_s+\sum_{r,s}sC_r+(n+1)\sum sC_s. Using and , this is

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Question ID VK-021136