Let \( 0 \leq x4,-2 \leq y3 \) and \( -1 \leq z5 \). If \( [a] \) d...

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Let \( 0 \leq x4,-2 \leq y3 \) and \( -1 \leq z5 \). If \( [a] \) denotes the greatest integer \( \leq a \), then maximum possible value of
\[
\Delta=\left|\begin{array}{ccc}
{[x+2]} & {[y]} & {[z]} \\
{[x]} & {[y+1]} & {[z]} \\
{[x]} & {[y]} & {[z+1]}
\end{array}\right|
\]
is
(a) 13
(b) 15
(c) 17
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