If \( \Delta_{r}=\left|\begin{array}{ccc}r-1 & n & 6 \\ (r-1)^{2} & 2 n^{2} & 4 n-2 \\ (r-1)^{3}...
If \( \Delta_{r}=\left|\begin{array}{ccc}r-1 & n & 6 \\ (r-1)^{2} & 2 n^{2} & 4 n-2 \\ (r-1)^{3} & 3 n^{3} & 3 n^{2}-3 n\end{array}\right| \) then \( \sum_{r=1}^{n} \Delta_{r} \) equals
(a) 1
(b) -1
(c) 0
(d) None of these
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