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1. How many Hamiltonian paths exist for the following graph? Recall that for an undirected graph the reverse path is the same as the

1. How many Hamiltonian paths exist for the following graph? Recall that for an undirected graph the reverse path is the same as the original path; for example, E,C,D,A,F,B is the same thing as B,F,A,D,C,E. C E F A D B

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