The sum of the coefficients in the expansion of $(1 + x + x^{2})^{n}$ is

2

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2^{n}

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3^{n}

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4^{n}

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Solution

The correct option is B $3^{n}$
Given expression is $(1 + x + x^{2})^{n}$
Substituting $x = 1$ in the above expression, we get the sum of the binomial coefficients as
$(1 + x + x^{2})^{n}$
$= (1 + 1 + 1)^{n}$ (substituting $x = 1$ )
$= (3)^{n}$
Hence answer is C

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