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If a designer wants to design a point-to-point subnetwork with 10 routers of full duplex line, then total number of lines among them would be

  • A.10
  • B.20
  • C.45
  • D.90

Answer: D

Correct answer: 45

A full-duplex line carries both directions, so one line serves each pair of routers:

\[ \binom{10}{2} = \frac{10\times 9}{2} = 45 \]

It would take 90 lines only if each were simplex and a separate one were needed for each direction.

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