The coefficient of x6 in the expansion of (1+1!x+2!x2+3!x3+4!x4+5!x5)2 is

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The coefficient of x^6 in the expansion of {( {1 + {x}{{1!}} +

Question

The coefficient of $x^{6}$ in the expansion of $(1 + \frac{x}{1 !} + \frac{x ^{2}}{2 !} + \frac{x ^{3}}{3 !} + \frac{x ^{4}}{4 !} + \frac{x ^{5}}{5 !})^{2}$ is

\frac{31}{360}

\frac{4}{15}

\frac{31}{300}

\frac{2}{45}

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Theodore Discussed

The coefficient of

x^{6}

in the expansion of

(1 + \frac{x}{1 !} + \frac{x ^{2}}{2 !} + \frac{x ^{3}}{3 !} + \frac{x ^{4}}{4 !} + \frac{x ^{5}}{5 !})^{2}

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Question Text

The coefficient of

x^{6}

in the expansion of

(1 + \frac{x}{1 !} + \frac{x ^{2}}{2 !} + \frac{x ^{3}}{3 !} + \frac{x ^{4}}{4 !} + \frac{x ^{5}}{5 !})^{2}