How many full adjacencies does R3 have when connected to six routers in the same subnet?

In a network using a link-state routing protocol, such as OSPF (Open Shortest Path First), every router in a broadcast network (like Ethernet) forms a full adjacency with all other routers in that same network. This means that if R3 is connected to six other routers in the same subnet, it will form a full adjacency with each of the six routers.

To clarify, a full adjacency allows routers to exchange routing information and maintain a consistent view of the network topology. In this scenario, R3 would establish direct communication with each of the six connected routers, leading to a total of six full adjacencies.

Since R3 itself is counted among the total routers connected in the subnet, though, it would not form an adjacency with itself. Therefore, the number of full adjacencies R3 has when connected to six other routers is five.

In summary, when considering the full adjacencies R3 has with the routers in the same subnet, R3 will form adjacencies with five other routers, highlighting the interconnected nature of routers in broadcast domains.