Summer camp

There are three schools say A,B and C.

The three schools send some of their students for a summer camp.

School A sends 2 students, school B sends 4 students and school C sends 6 students for the summer camp.

There are a total of 6 hotel rooms (all rooms are distinguishable) for the accommodation of the students from the three schools.

In each of the 6 rooms, at most two students will reside.

If it is given that no two students from different schools can reside in the same room, then in how many ways the students from schools A, B and C can be accommodated in the hotel rooms?


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