A is the father of B, C is the brother of A, F is the sister of B. If M is the Father of A, then establish relationship between F and C.

Let us break down the blood relations step-by-step:
1. $A$ is the father of $B$.
2. $F$ is the sister of $B$, which implies that $A$ is also the father of $F$ (and $F$ is female).
3. $C$ is the brother of $A$.

Since $C$ is the brother of $F$ 's father ($A$), $C$ is the paternal uncle of $F$, making $F$ the niece of $C$. Therefore, the relationship between $F$ and $C$ is Niece and Uncle.