The value of the sum _ r=1 ^n _ s=1 ^nS_ rs 2^r3^s, where S_ rs =0, if r s and S_ rs =1, if r=s, is

JEE Main Mathematics question

The value of the sum , where , if and , if , is

Answer: (B)

Only the terms with survive: . This is a GP with first term

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Question ID VK-021623