The correct option is Private cloud with cloud provider backups.

This choice is correct because Horizon Tech keeps its compute and storage inside its own company datacenter, which matches the ownership and control characteristics of a private cloud, and it hires a third party to perform backups, which means the backup function is managed by an external cloud provider rather than by internal staff.

Cloud hosted systems with on site backup retention is incorrect because that option implies the primary systems are hosted in the cloud rather than on the company premises, and it also implies backups are kept on site rather than outsourced to a third party.

Public cloud services with vendor managed backups is incorrect because public cloud services would mean the provider hosts the compute and storage, whereas Horizon Tech hosts those resources inside its own datacenter.

Private cloud with internally managed backups is incorrect because this option assumes backups are handled by the organization itself, but in the scenario the backups are performed by an external third party.

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