What term describes a structure that includes a drainpipe and a hot and cold water supply?

The term that best describes a structure that includes a drainpipe and both a hot and cold water supply is a sink. A sink is specifically designed for various tasks such as washing hands, dishes, or other items, and it features the necessary plumbing infrastructure to provide both hot and cold water as well as a way to drain water away.

While other options like a bathroom include these features, they refer to a larger space rather than the specific structure itself. A faucet is a component of the sink that controls the flow of water but does not encompass the full structure that includes a drainpipe. A wash basin, though it may seem similar, typically refers to a more general basin that may not always have the plumbing features specified in the question. Hence, the sink is the most accurate term for a structure that incorporates a drainpipe alongside both hot and cold water supplies.