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In a complete graph of N vertices, there are 1/2 ( N -1)! Hamiltonian circuits. How many Hamiltonian circuits are there in a complete graph with 6 vertices? How many Hamiltonian circuits are there in a complete graph with 4 vertices?

In a complete graph of vertices, there are 1/2 ( N -1)! Hamiltonian circuits. How

many Hamiltonian circuits are there in a complete graph with 6 vertices? 

How many Hamiltonian circuits are there in a complete graph with 4 vertices? 

 
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