Room Assignments When seven students take a trip, they find a hotel with three rooms available: a room for one person, a room for two people, and a room for three people. In how many different ways can the students be assigned to these rooms? (One student has to sleep in the car.)
The number of ways in which the students can be assigned to the rooms.
The total number of students is
The total number of rooms available is
The first room is available for person.
The second room is available for persons.
The third room is available for persons.
It is given that one student has to sleep in the car.
The number of permutations of objects out of which are of one kind, are of second kind, are of kind and so on, is
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