A student chooses two distinct real numbers $x$ and $y$ with $0 < x < y < 1$.\\
The student then attempts to draw a triangle $A B C$ with:

$$\begin{aligned}
A B & = 1 \\
\sin A & = x \\
\sin B & = y
\end{aligned}$$

Which of the following statements is/are correct?

I For some choice of $x$ and $y$, there is exactly one triangle the student could draw.

II For some choice of $x$ and $y$, there are exactly two different triangles the student could draw.

III For some choice of $x$ and $y$, there are exactly three different triangles the student could draw.\\
(Note that congruent triangles are considered to be the same.)

A none of them\\
B I only\\
C II only\\
D III only\\
E I and II only\\
F I and III only\\
G II and III only\\
H I, II and III