# Grammar that contains letters a,b,c and number of letters $c$ is greater than number of letters $b$ [duplicate]

I look for grammar which use letters $a,b,c$ that numbers of letters $c$ is greater than number of letters $b$.

Example: $acbccba$

$$S \rightarrow aS \mid bS \mid SCS$$ $$C \rightarrow cb \mid ca$$