To connect n LANs directly, you would need a point-to-point WAN for each pair of LANs.

The number of pairs you can make from n items (in this case, LANs) is given by the formula for combinations: n(n-1)/2.

So, to connect n LANs directly, you would need n(n-1)/2 point-to-point WANs.

Here's the step-by-step calculation:

1. Subtract 1 from the total number of LANs (n-1).
2. Multiply the result by the total number of LANs (n*(n-1)).
3. Divide the result by 2 to get the total number of point-to-point WANs needed (n*(n-1)/2).

This formula comes from the field of combinatorics and is used when the order of selection does not matter, which is the case here as we just need to connect each pair of LANs regardless of order.

Question

To connect n LANs directly, you would need a point-to-point WAN for each pair of LANs.

The number of pairs you can make from n items (in this case, LANs) is given by the formula for combinations: n(n-1)/2.

So, to connect n LANs directly, you would need n(n-1)/2 point-to-point WANs.

Here's the step-by-step calculation:

1. Subtract 1 from the total number of LANs (n-1).
2. Multiply the result by the total number of LANs (n*(n-1)).
3. Divide the result by 2 to get the total number of point-to-point WANs needed (n*(n-1)/2).

This formula comes from the field of combinatorics and is used when the order of selection does not matter, which is the case here as we just need to connect each pair of LANs regardless of order.

Knowee AI · Accepted Answer

To connect n LANs directly, you would need a point-to-point WAN for each pair of LANs.

The number of pairs you can make from n items (in this case, LANs) is given by the formula for combinations: n(n-1)/2.

So, to connect n LANs directly, you would need n(n-1)/2 point-to-point WANs.

Here's the step-by-step calculation:

1. Subtract 1 from the total number of LANs (n-1).
2. Multiply the result by the total number of LANs (n*(n-1)).
3. Divide the result by 2 to get the total number of point-to-point WANs needed (n*(n-1)/2).

This formula comes from the field of combinatorics and is used when the order of selection does not matter, which is the case here as we just need to connect each pair of LANs regardless of order.

How many point-to-point WANs are needed to connect n LANs if each LANshould be able to directly communicate with any other LAN?

Question

How many point-to-point WANs are needed to connect n LANs if each LAN should be able to directly communicate with any other LAN?

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