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Mathematics
Problem
The number of positive integral solution of the equation
∣
x
3
+
1
x
2
y
x
2
z
x
y
2
y
3
+
1
y
2
z
x
z
2
y
z
2
z
3
+
1
∣
=
11
\left|\begin{matrix} x^3 + 1 & x^2 y & x^2 z \\ x y^2 & y^3 + 1 & y^2 z \\ x z^2 & y z^2 & z^3 + 1 \end{matrix}\right| = 11
x
3
+
1
x
y
2
x
z
2
x
2
y
y
3
+
1
y
z
2
x
2
z
y
2
z
z
3
+
1
=
11
is a. 0 b. 3 c. 6 d. 12
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