Question

A certain game requires 6 players; each in a different role, and exactly one of the players must act as leader. If only 3 of the 6 available players are qualified to be the leader, and all players are qualified to act in any other role, how many different ways can the 6 players be arranged into the 6 roles of the game?

Answer 1

\[3\times 5!\]

Answer 2

three possibilities for leader and then \(5!\) for the other 5 roles

Answer 3

can u explain me that ?