If \( a, b \) and \( c \) are the roots of the equation \( x^{3}-6 ...

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If \( a, b \) and \( c \) are the roots of the equation \( x^{3}-6 x^{2}+11 x-6=0 \) and
\( \mathrm{P} \)
\( \Delta=\left|\begin{array}{ccc}3 & a+b+c & a^{3}+b^{3}+c^{3} \\ a+b+c & a^{2}+b^{2}+c^{2} & a^{4}+b^{4}+c^{4} \\ a^{2}+b^{2}+c^{2} & a^{3}+b^{3}+c^{3} & a^{5}+b^{5}+c^{5}\end{array}\right| \), then
W
\( \Delta \) is equal to
(1) -24
(2) 24
(3) 12
(4) -12
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