Each box represents a device connected to the network, each line represents a direct connection between two devices. Knowing this information, which of the following statements are true about this network? I. The network is fault tolerant. If one connection fails, any two devices can still communicate. II. Computers C and E need to first communicate with at least one other device in order to communicate with each other. (2 points) Responses I only I only II only II only I and II

Question

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Answer 1

To determine the truth of the statements, we need to analyze the network structure based on the given information about devices and their connections.

Let's break down each statement:

Statement I: The network is fault tolerant. If one connection fails, any two devices can still communicate.

• For the network to be fault tolerant to this level, it typically must be fully connected or designed in such a way that there are alternative paths between devices. If we don't have the specific connections detailed, we cannot definitively conclude that this is true without further information on how the devices are interconnected.

Statement II: Computers C and E need to first communicate with at least one other device in order to communicate with each other.

• This statement implies that computers C and E do not have a direct connection between them and must use an intermediary device to facilitate their communication. Again, without clear information on the connectivity between the devices, we cannot know this for sure.

In conclusion, if we assume a hypothetical structure without additional details:

• If the devices are all interconnected (i.e., any device can reach any other device directly or indirectly), then statement I might be true.
• If C and E are not directly connected in this structure, then statement II would also be true.

Given lack of specific information, it might be safer to conclude that we cannot definitively prove either statement to be true. This leads us to consider that both statements could potentially be true or false, but this cannot be definitively stated without a clear depiction of the network.

To answer the question based on the assumptions:

• If you choose “I and II” (meaning both statements are true), you'd be assuming a certain structure.
• If you choose any of the single statements or the option stating that neither is true, it depends on specific interpretations of the relationships within the network.

Unfortunately, without an explicit diagram or clarification of the connections, I cannot definitively answer which statement is true. It would depend on the network layout. Thus, you may need to check again for possible network connections or specific descriptions that clarify whether these assumptions are upheld.

Answer 2

Each box represents a device connected to the network, each line represents a direct connection between two devices. Knowing this information, which of the following statements are true about this network? I. The network is fault tolerant. If one connection fails, any two devices can still communicate. II. Computers C and E need to first communicate with at least one other device in order to communicate with each other. (2 points) Responses I only I only II only II only I and II

Boxes A B and D are connect, B is connected to E, boxes E F C D are all connected.

Answer 3

Given the provided information about the network connections:

• Boxes A, B, and D are interconnected.
• Box B is connected to box E.
• Boxes E, F, C, and D are all interconnected.

Let’s analyze the statements:

Statement I: The network is fault tolerant. If one connection fails, any two devices can still communicate.

• Based on the relationships described, we can see that if one connection fails, it's necessary to check if there are alternative paths available for all devices:
  • If B loses its connection to either A or D, B can still communicate with E.
  • If D loses its connection to either A or B, it can still communicate with E, C, or F.
  • Therefore, as noted, multiple connections exist amongst the devices, but without a specific way of understanding the complete interconnectivity (like positions of A, B, C, D, E, F), it’s difficult to entirely confirm that any two devices will be able to communicate if one connection fails. Further examination and specific paths would be necessary for more rigorous justification. But it seems plausible that there is a level of fault tolerance since there are multiple connections.

Statement II: Computers C and E need to first communicate with at least one other device in order to communicate with each other.

• If computers E and C are indeed interconnected based on the information — it states “boxes E, F, C, D are all connected” — suggesting that E and C can communicate directly, then this statement is false. They would not need to communicate through another device.

Given this analysis:

• Statement I is possibly true, depending on the overall structure.
• Statement II is false as C and E are connected directly.

Thus, if you are given the choice of answers:

• Choose I only.

This is justified unless further clarification of the network structure is available.