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How many unique Hamiltonian paths would need to be checked to find the optimal Hamiltonian path in this graph using the Brute Force Method?

How many unique Hamiltonian paths would need to be checked to find the optimal Hamiltonian path in this graph using the Brute Force Method? D C B 15- 7 12 8. 13. A 5 3 14' 10 E F

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