Drop-in sinks sit on top of the countertop with a visible rim. Undermount sinks attach below the countertop with no rim -- just a clean edge where the counter meets the sink bowl. The mounting style affects how you clean the counter, which countertop materials work, how much the installation costs, and whether you can DIY it. Neither is objectively better. Drop-in is simpler, cheaper, and works on any countertop. Undermount looks cleaner, is easier to wipe into, and requires a solid-surface countertop.