Question 106
For how many triples $(x, y, z)$ of integers between $-10$ and $10$ inclusive do there exist reals $a, b, c$ that satisfy
$$
\begin{gathered}
a b = x \\
a c = y \\
b c = z ?
\end{gathered}
$$
$$
\begin{gathered}
a b = x \\
a c = y \\
b c = z ?
\end{gathered}
$$