Final answer:
Routing selection among multiple routes to the same destination from different routing protocols is determined by Administrative Distance, with the lower value being preferred. Metrics such as hop count or cost are considered after AD when they are from routes with the same AD.
Step-by-step explanation:
When multiple routes to the same destination network are received via different routing protocols, the route selection is determined based on the Administrative Distance (AD). Each routing protocol is assigned an administrative distance value which indicates the trustworthiness of the routing information received from that protocol. The lower the AD, the more preferred the route is. For instance, a route learned through OSPF with an AD of 110 will be less preferred than a route learned from EIGRP which has an AD of 90, assuming both routes are to the same destination.
Metrics such as hop count or cost are used to determine the best path within the same routing protocol. However, when multiple protocols provide routes to the same destination, AD takes precedence over these metrics. After the AD has been compared, if two routes from different protocols have the same AD, the best metric will then come into play to determine the preferred route.