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The coefficient of t²⁴ in the expansion of ${(1 + t^{2})}^{12} (1 + t^{12}) (1 + t^{24})$ is

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12C6+2

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Correct option is A

We have 1+t2121+t121+t24=1+12C1t2+12C2t4+…+12C6t12+…+12C12t24+…1+t12+t24+t36 ∴ Coefficient of t24 in 1+t2121+t121+t24=12Cc+12C10+1=12C6+2

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The coefficient of t24 in the expansion of 1+t2121+t121+t24 is

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The coefficient of t²⁴ in the expansion of ${(1 + t^{2})}^{12} (1 + t^{12}) (1 + t^{24})$ is