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The coefficient of x^(20) in (1 + 3x...

The coefficient of `x^(20)` in
` (1 + 3x + 3x^(2) + x^(3))^(20)`,I s

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Answer (1)
We have
`(1+3x+3x^(2)+x^(3))^(20)=(1+x)^(60)`
`therefore`Coefficient of `x^(20)` in `(1+x)^(60)=.^(60)C_(20)=.^(60)C_(40)`
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