$\text{C, D, E, F, Y }$ and $\text{Z}$ live on six different floors of the same building. The lowermost floor in the building is numbered $1$, the floor above it is numbered $2$ and so on, till the topmost floor, which is numbered $6$.
$\text{E}$ lives on floor number $4$. Only two people live between $\text{E}$ and $\text{Y}$. Only $\text{D}$ lives between $\text{E}$ and $\text{F}$. $\text{C}$ lives immediately below $\text{E}$.
Who lives on floor number $2$?
- $\text{D}$
- $\text{Z}$
- $\text{C}$
- $\text{F}$
