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Coefficient of \( x^{4} \) in \( \left(2+2 x+x^{2}\right)^{n} \) is
(a) \( { }^{n+1} C_{4} 2^{n}+{ }^{n+1} C_{3} 2^{n-2}+2^{n-2}\left({ }^{n} C_{3}\right) \)
(b) \( { }^{n} C_{3} 2^{n-2}+{ }^{n+1} C_{4} 2^{n} \)
(c) \( { }^{n+1} C_{3} 2^{n-2}+{ }^{n+1} C_{4} 2^{n} \)
(d) \( { }^{n+2} C_{4} 2^{n} \)
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