If (1+x+x^2)^n=C_0+C_1x+C_2x^2+ , then the value of C_0C_1-C_1C_2+C_2C_3- , is

JEE Main Mathematics question

If , then the value of , is

Answer: (D)

Since has degree and is symmetric, ; the sum is . Pair the term with the term : , but the

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Question ID VK-021192