Final answer:
This statement is partially true. Each router creates a separate broadcast domain, and each LAN connected to a router creates a separate broadcast domain as well. However, the total number of broadcast domains depends on the specific network configuration.
Step-by-step explanation:
This statement is partially true. In a network with multiple routers, each router creates a separate broadcast domain. So, if there are 4 routers, there will be 4 broadcast domains. Each LAN connected to a router also creates a separate broadcast domain. Therefore, if there are 4 LANs connected to each router, there will be an additional 4 broadcast domains. This means that the total number of broadcast domains would be the sum of the broadcast domains created by the routers and the LANs.
However, it's important to note that not all LANs connected to a router necessarily create a separate broadcast domain. If multiple LANs are connected to a switch, and that switch is then connected to a router, all the LANs connected to the switch will be part of the same broadcast domain. So, the number of broadcast domains created by the LANs connected to a router would depend on their specific configuration.