The two most common are “top-mount” sinks, also known as drop-in sinks, and undermount sinks. Which you choose depends on the type of countertop material you have and the type of sink material ...

Vessel sinks may need a wall-mounted faucet or ... You can use drop-in sinks, which fit in a hole in the counter, and vessel sinks, which sit on top of the counter, with any countertop material.