I'm being asked to describe all different orbits of the action of $S_5$ on the product $[5]\times [5] \times [5]$ (where $[5]$ is a set of five elements with standard permutation action of $S_5$).
While I think I understand the notion of orbits of group actions, I'm a little lost on what the "product $[5]\times [5] \times [5]$" means based on the description in the parentheses; could somebody point me in the right direction? Sorry if this is a dumb question, and thanks in advance!