Final answer:
Azure Functions is the solution for running small pieces of code in the cloud, designed to process events with serverless compute capabilities, while Azure App Service and Web Apps provide broader web application hosting and management features.
Step-by-step explanation:
Azure Functions is a solution for easily running small pieces of code in the cloud. It provides an event-driven, serverless compute platform that can process code in response to various events. Azure Functions is designed to accelerate and simplify application development.
Azure App Service, on the other hand, is a fully managed platform for building, deploying, and scaling web apps. Web Apps is a feature within Azure App Service that allows the hosting of web applications.
While all options pertain to cloud services provided by Microsoft's Azure platform, the correct answer specifically addressing the ease of running small pieces of code in the cloud is Azure Functions.