Suppose we have R$($A$,$ B$,$ C$,$ D$,$ E$,$ F$)$ and data instances as follows $(8$ points, one each$)$:

A B C D E F

a$1$ b$1$ c$1$ d$1$ e$1$ f$1$

a$1$ b$2$ c$1$ d$1$ e$2$ f$2$

a$2$ b$2$ c$2$ d$1$ e$2$ f$2$

a$3$ b$3$ c$1$ d$2$ e$3$ f$1$

Based on relation above, which of the following FDs are valid?