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If \( a, b \) and \( c \) are the roots of the equation
\( \mathrm{P} \) \( x^{3}+2 x^{2}+2 x+1=0 \) and

W \( \Delta=\left|\begin{array}{ccc}3 & a+b+c & a^{3}+b^{3}+c^{3} \\ a+b+c & a^{2}+b^{2}+c^{2} & a^{4}+b^{4}+c^{4} \\ a^{2}+b^{2}+c^{2} & a^{3}+b^{3}+c^{3} & a^{5}+b^{5}+c^{5}\end{array}\right| \) then
(1) \( \Delta=6 \)
(2) \( \Delta=0 \)
(3) \( \Delta=-6 \)
(4) Two values of ' \( \Delta \) ' are possible
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