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 LANshould be able to directly communicate with any other LAN?
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Solution 1

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.

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