Answer:
[tex]6.22\times 10^9[/tex]
Step-by-step explanation:
We have given the number of vertices = 14
We have to find the number of Hamilton circuit
Number of Hamilton circuit is given by (N-1)!, where N is the number of vertices
So the Hamilton circuit = ( 14-1 ) ! =13 ! = 13×12×11×10×9×8×7×6×5×4×3×2×1[tex]=6.22\times 10^9[/tex]
So the number of Hamilton circuit [tex]=6.22\times 10^9[/tex]