Question: I need help with q 25 please Consider a simple, complete graph with n nodes. Testing for a Hamiltonian circuit by trial and error could

I need help with q 25 please

I need help with q 25 please Consider a simple, complete graph

Consider a simple, complete graph with n nodes. Testing for a Hamiltonian circuit by trial and error could be done by selecting a fixed starting node and then generating all possible paths from that node of length n. a. How many paths of length n are there if repetition of arcs and nodes is allowed? b. How many paths of length n are there if repetition of arcs and nodes is allowed but an are may not be used twice in succession? c. How many paths of length n are there if nodes and arcs cannot be repeated except for the starting node? (These are the Hamiltonian circuits.)

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