# How many ways can $p+q$ people sit around $2$ circular tables - of sizes $p,q$?

How many ways can $p+q$ people sit around $2$ circular tables - first table of size $p$ and the second of size $q$?

My attempt was:

• First choose one guy for the first table - $p+q\choose1$.

• Then choose the rest $p-1$ people - $(p+q-1)! \over p!$.