Four routers have to be interconnected in a point-to-point Network. Each pair of root us may connected by a high-speed line, a medium speed line or a low speed line. Find the total number of topologies.
A. 12
B. 81
C. 48
D. 729
E. ARP.EXE
Answer: Option D
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There are four routers A, B, C, D, so point to point connections are AB, AC, AD, BC, BD, CD(means there are 6 point to point connection).
And each connection may have either high speed line, medium speed line or low speed line, so we can say there are 3 possibilities of above each 6 point to point connections,
So 3^6= 729 so that is correct answer. :).
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