Question

Let the number of ways in which six digits, 1, 2, …..6, respectively, can be assigned to six faces of cube (without repetition of digit) so that one arrangement cannot be obtained from another by a rotation of the cube be , then $\frac{\lambda }{5}$ is ___

Answer 1

$\lambda ={}^6{C}_4\frac{\angle 3}{2}\Rightarrow \frac{\lambda }{5}=9$