The administrative distance and metric in a routing table entry indicate the route's trustworthiness and cost, respectively. Administrative distance represents the reliability of the routing protocol source, and metric indicates the path's cost. Routers use these values to select the most preferred route among multiple entries to the same destination. The other options do not directly influence the route selection process. The network prefix and mask define the destination network, the gateway of last resort is used when no specific route matches, and the next hop address specifies where to forward the packet but does not determine route preference.
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Cisco CCNA 200-301
IP Connectivity
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