The coefficient of $x^{6}$ in $(2 + 2 x)^{10}$ is

10 C_{6}

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2^{6}

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10 C_{6} 2^{6}

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10 C_{6} 2^{10}

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Solution

The correct option is D $10 C_{6} 2^{10}$
Now, the coefficient of $x^{6}$ in $(2 + 2 x)^{10}$ is $^{10} C_{6} {.2}^{4} {.2}^{6} =^{10} C_{6} {.2}^{10}$ .

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