Coefficient of {t^{12}} in {left( {1 + | vedclass

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Question

$\left(1+t^{2}\right)^{6}\left(1+t^{2}+t^{12}+t^{18}\right)$

coeff of $t^{12}$ in $\left(1+t^{2}\right)^{6}+$ coeff of $t^{6}$ in $\left(1+t^{2}\ri

Vedclass · Accepted Answer

$22$

Vedclass · Answer

$\left(1+t^{2}\right)^{6}\left(1+t^{2}+t^{12}+t^{18}\right)$

coeff of $t^{12}$ in $\left(1+t^{2}\right)^{6}+$ coeff of $t^{6}$ in $\left(1+t^{2}\right)^{6}+$

coeff. of $t^{\circ}$ in $\left(1+t^{2}\right)^{6}$

$^{6} \mathrm{C}_{6}+^{6} \mathrm{C}_{3}+^{6} \mathrm{C}_{0}$

$22$

Coefficient of ${t^{12}}$ in ${\left( {1 + {t^2}} \right)^6}\left( {1 + {t^6}} \right)\left( {1 + {t^{12}}} \right)$ is-

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