What Are Permutations and Factorials?

In a tournament with players $\{x_1, ..., x_n\}$, a Hamiltonian path is a permutation of these players, $\{y_1, ..., y_n\}$ such that $y_1$ beats $y_2,$ $y_2$ beats $y_3,$ and so on.

If we have a tournament with six players and $\{2, 3, 6, 5, 1, 4\}$ represents a Hamiltonian path, which of the following CANNOT be Hamiltonian paths as well?