Fill in the blank: How many arrangements are there for a 23-member tour group to stay in a hotel, a triple room and a quadruple room (there is no empty bed in each room)?

Room 65438+3 has 0 = 3 people, room 4 has 5 = 20 people and ***23 people.

2 people in 3 rooms =6 people, 4 people in 4 rooms = 16 people, ***22 people.

3 = 9 in a room, 3 = 12 in a room, ***2 1.

4 people in 3 rooms = 12 people, 3 people in 4 rooms = 12 people, ***24 people.

5 people in 3 rooms = 15 people, 2 people in 4 rooms =8 people, ***23 people.

6 people in 3 rooms = 18 people, 4 rooms 1 person =4 people, ***22 people.

7 people in 3 rooms =2 1 person ***2 1 person.

So there can only be two situations: 1 triple room, 5 quadruple room, or 5 triple room and 2 quadruple room.