The Hybrid Cloud
With this option, the company keeps some technology and services internal and hosts other services with a Cloud provider, generally a public Cloud provider to keep the costs down.
An example of Hybrid Cloud is outsourcing the email system (Microsoft Exchange for example) to a Cloud Provider and keeping everything else internally. On the positive side, this creates all the Cloud advantages for the app(s) put into the Cloud, reduces total cost of ownership, and creates a decent ROI, for the Cloud apps. Negatively, all the apps left internally experience the same problems found in a Private Cloud setup.