Sharing Rooms

$5$ students travelling together are assigned $3$ rooms to spend the night. One room is a luxury suite, the other is a deluxe and the last room is a normal suite. If no room must be left empty, how many ways are there for them to share the rooms? (The room they are in matters. For example, if $A,B,C,D,E$ are the students and $A,B$ are in deluxe, $C,D$ are in luxury and $E$ is in the normal suite then this is a different arrangement from $A,B$ in luxury, $C,D$ in deluxe and $E$ in the normal suite.)