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There are five cities \(A,B,C,D,E \) on a certain island.Each city is connected to every other city by road . In how many ways can a person starting from city \(A\) come back to \(A\) after visiting a city more than once and without taking the same road more than once? (The order in which he visits the cities also matters e.g the routes \(A\rightarrow B \rightarrow C \rightarrow A \) and \(A\rightarrow C \rightarrow B \rightarrow A\) are different.

Note by Vilakshan Gupta
2 months ago

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