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In a fully connected mesh network with n devices, there are ________ physical channels to link all devices.

  • A.n(n-1)/2
  • B.n(n+1)/2
  • C.2n
  • D.2n+1

Answer: A

In a fully connected mesh network with n devices, every device is linked to each of the other n - 1, and each link is shared by two devices, so the number of physical channels is \(\frac{n(n - 1)}{2}\). The answer is (A).

The count \(\frac{n(n + 1)}{2}\) in (B) would include a link from each device to itself, and 2n and 2n + 1 in (C) and (D) grow only linearly, which is the number for a ring or a star with a spare link, not for a full mesh.

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