Suppose there exists a bijection $f: A\rightarrow B \ /\ C$, where $ B \ /\ C$ denotes a quotient set "$B$ mod $C$."
If there are $b$ elements in B and $c$ elements in $C$ (i.e. both $b$ and $c$ are finite), can we say the cardinality of $A$ is just $\frac{b}{c}$?