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The value of |(1, 1, 1)(nC1, n+2C1, n+4C1)(nC2, n+2C2, n+4C2)| is

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The value of \(\begin{vmatrix} 1 & 1 & 1 \\ n_{C_1} & {n+2}_{C_1} & {n+4}_{C_1} \\ n_{C_2} & {n+2}_{C_2} & {n+4}_{C_2} \end{vmatrix}\) is

A. 2

B. 4

C. 8

D. n2

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Correct answer is C.

∆ = 1/2 [8n + 20 - 8n - 4]

∆ = 8

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