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The coefficient of $x^{20}$ in ${(1 + 3 x + 3 x^{2} + x^{3})}^{20}$ is

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60C40

30C20

15C2

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Correct option is A

We have , 1+3x+3x2+x320=(1+x)320=(1+x)60 ∴Coefficient of x20 in 1+3x+3x2+x320 =Coefficient of x20 in (1+x)60=60C20=60C40

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The coefficient of x20 in 1+3x+3x2+x320 is

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The coefficient of $x^{20}$ in ${(1 + 3 x + 3 x^{2} + x^{3})}^{20}$ is