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.

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. :).

🤔 how

How?

How is it's possible