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Twenty switches in an office computer network are to be connected so that each switch has a direct connection to exactly three other switches. How many connections will be necessary?

Please answer fast!!

 Jun 12, 2019
 #1
avatar+97 
+3

Each switch has 3 connections so there are 3* 20 = 60 connections, but that counts each connection twice (connecting A to B is the same as connecting B to A) so divide 60 by 2 to get 30 connections.

 Jun 13, 2019
 #2
avatar+8207 
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Also this might help to visualize a way that we could accomplish this:

 

 

So the total number of connections  =  6 * 5  =  30  smiley

 Jun 13, 2019
 #3
avatar+26 
-3

3*20/2=

30

ProffesorNobody  Jun 13, 2019

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