The sum 12 , ^ 10 C_0- ^ 10 C_1+2 ^ 10 C_2-2^2 ^ 10 C_3+ +2^9 ^ 10 C_ 10 is equal to

JEE Advanced Mathematics question

The sum is equal to

Answer: (A)

The general term is for (check: gives

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Question ID VK-108346