4. Suppose there is a shipping network with n shipping locations, where n > 2. They are connected by roads, but a shipping location could be isolated (i.e. there are no roads to it). Prove that, no matter how these roads are organized, there are at least two shipping locations with the same number of roads.

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4.
Suppose there is a shipping network with n shipping locations, where n 2 2. They
are connected by roads, but a shipping location could be isolated (i.e. there are no roads to it).
Prove that, no matter how these roads are organized, there are at least two shipping locations
with the same number of roads.
Transcribed Image Text:4. Suppose there is a shipping network with n shipping locations, where n 2 2. They are connected by roads, but a shipping location could be isolated (i.e. there are no roads to it). Prove that, no matter how these roads are organized, there are at least two shipping locations with the same number of roads.
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