The HPE Alletra MP is a modular, disaggregated storage platform designed to provide different storage personas (Block or File/Object) based on the software stack installed on the controller nodes. However, the minimum hardware 'footprint' required to form a functional, supported cluster differs significantly between these personas.

For HPE GreenLake for File Storage (which utilizes the Alletra MP X10000 hardware and provides both File and Object protocols), the architecture is based on a disaggregated shared-everything (DASE) model. According to the HPE Alletra MP Installation and Architecture Guide, the minimum supported configuration for a File/Object cluster is three X10000 controller nodes. This 3-node minimum is a hard requirement to establish proper quorum and high availability for the V-Tree metadata and the distributed file system logic. A single X10000 node (as suggested in Options A and C) cannot function as a standalone file/object cluster in a production environment.

Furthermore, the Alletra MP X10000 persona is specifically optimized for high-density unstructured data (File and Object). While the B10000 persona (Options A, B, and C) is intended for Block storage, the question asks for a solution that covers file, object, and block. In many modern software-defined or unified scenarios, especially those aligned with the Alletra MP's future-proof roadmap, the X10000 hardware can serve multiple personas. However, strictly following the current architectural minimums for the File/Object requirement mentioned, you must have at least three nodes. Therefore, a 3-node cluster of X10000s is the foundational requirement to even begin providing the file and object services the customer needs. Options A and B fail the minimum cluster size requirement for the File/Object persona.