The sum of the series ^ 3 C_0 - ^ 4 C_1 12 + ^ 5 C_2 ( 12 )^2 - ^ 6 C_3 ( 12 )^3 + to is

JEE Advanced Mathematics question

The sum of the series to is

Answer: (C)

General term , which is the expansion of with

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Question ID VK-108407