If \( \alpha, \beta, \gamma \) are distinct roots of \( x^{3}-3 x^{...

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If \( \alpha, \beta, \gamma \) are distinct roots of \( x^{3}-3 x^{2}+3 x+7=0 \) and \( \omega \) is non-real cube root of unity, then the value of
\( \mathrm{P} \) \( \frac{\alpha-1}{\beta-1}+\frac{\beta-1}{\gamma-1}+\frac{\gamma-1}{\alpha-1} \) can be equal to :

W
(A) \( \Theta^{2} \)
(B) \( 200^{2} \)
(C) \( 3 e^{2} \)
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