Question: 10. A computer network consists of 10 computers. Each computer directly connects to an even number (i.e., 2, 4, 6 or 8) of the other

 10. A computer network consists of 10 computers. Each computer directly

10. A computer network consists of 10 computers. Each computer directly connects to an even number (i.e., 2, 4, 6 or 8) of the other computers. Show that there are at least three computers in the network each of which is directly connected to 2 other computers or 4 other computers or 6 other computers or 8 other computers. (Hint: Generalized Pigeonhole Principle)

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