The sum of the numerical coefficients in the expansion of ${(1 + \frac{x}{3} + \frac{2 y}{3})}^{12}$ is

1

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2

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2^{12}

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none of these

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Solution

The correct option is C $2^{12}$
To get sum of coefficients put $x = y = 1$
Hence sum of numerical coefficient in the expansion of ${(1 + \frac{x}{3} + \frac{2 y}{3})}^{12}$ is,
$= {(1 + \frac{1}{3} + \frac{2}{3})}^{12} = 2^{12}$

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