$Y$ is in the East of $X$ which is in the North of $Z$. If $P$ is in the South of $Z$, then in which direction of $Y$ is $P$?

Let's map out the relative spatial coordinates of each point systematically on a standard Cartesian plane (where North is $+y$, South is $-y$, East is $+x$, and West is $-x$):
1. **"$X$ which is in the North of $Z$ "**: Let's place $Z$ at the origin $(0,0)$. Since $X$ is North of $Z$, $X$ lies on the positive y-axis, say at $(0,2)$.
2. **"$Y$ is in the East of $X$ "**: Since $Y$ is East of $X$, we shift horizontally to the right from $X$ 's position. So, $Y$ will have coordinates like $(2,2)$.
3. **"$P$ is in the South of $Z$ "**: Since $P$ is South of $Z(0,0)$, it lies on the negative y-axis, with coordinates like $(0,-2)$.

Now, determine the direction of $P$ relative to $Y$:

* To go from $Y(2,2)$ to $P(0,-2)$, we need to move West (from $x=2$ to $x=0$) and South (from $y=2$ to $y=-2$).
* Therefore, $P$ is located in the South-West direction relative to $Y$.