Based on one's business requirements, there are three different cloud deployment models in which you can deploy any Azure cloud service -
Private Cloud- It comprises cloud computing resources owned entirely by a single company. This could mean hosting one's apps on their on-site servers or a dedicated server offered by the cloud service provider.
Public Cloud- The most common cloud deployment model, the public cloud, involves a third-party cloud service provider to manage and control the cloud resources distributed via the internet. The cloud provider owns all hardware, software, and other supporting facilities in this case. Example- Microsoft Azure.
Hybrid Cloud- A hybrid cloud is a blend of private and public clouds. These cloud deployment models employ private cloud service features such as processing confidential data and public cloud services such as hosting commercial applications.