Identify the ONE CORRECT matching between the OSI layers and their…

Concept: Each OSI layer's responsibility is defined by the scope over which it operates. Layer 2 (Data Link) governs a single physical or logical link; Layer 3 (Network) governs path selection across possibly many interconnected networks between links; Layer 4 (Transport) governs delivery across the complete path between the two communicating end systems, independent of the number of intermediate hops.

Application: Apply that scope test to each named functionality and match it to the layer whose scope it fits:

1. Packet routing selects a forwarding path using logical addresses and can span several interconnected networks → this is the Network layer's scope, so Network layer → Packet routing.

2. Host-to-host communication delivers data reliably and in order all the way from the originating system to the destination system, regardless of intermediate hops → this is the Transport layer's scope, so Transport layer → Host-to-host communication.

3. Framing and error handling organises the bit stream into frames and detects/corrects errors introduced during transmission over one link → this is the Datalink layer's scope, so Datalink layer → Framing and error handling.

Cross-check: Order the three functions by operating scope from narrowest to widest: framing (single link) < packet routing (path across networks) < host-to-host communication (full end-to-end path). This scope ordering matches the stack order Datalink (Layer 2) < Network (Layer 3) < Transport (Layer 4), independently confirming the same mapping.

Result: Network → Packet routing, Transport → Host-to-host communication, Datalink → Framing and error handling, i.e. (a)→(I), (b)→(III), (c)→(II).