[tex] \large\underline \bold{{SOLUTION}}[/tex]
Using the Circular permutation formula:
[tex]\longmapsto\rm{P_n=(n-1)!}[/tex]
[tex]\longmapsto\rm{P_{12}=(12-1)!}[/tex]
[tex]\longmapsto\rm{P_{12}=11!}[/tex]
[tex]\mapsto\rm{\footnotesize{P_{12}=11×10×9×8×7×6×5×4×3×2×1}}[/tex]
[tex]\longmapsto\boxed{\rm{P_{12}=39,916,800}}[/tex]
[tex] \large\underline{ \bold{ANSWER}}[/tex]