School trip

The class has 19 students. In how many ways can the students be accommodated in a hostel that has 3 two-bed rooms, 3 three-bed rooms, and 1 four-bed rooms? (Each room has a unique number.)

Final Answer:

N =  2933186256000

Step-by-step explanation:

$N=P_{2,2,2,3,3,3,4}^{\prime }(19)=\frac{19!}{2!\cdot 2!\cdot 2!\cdot 3!\cdot 3!\cdot 3!\cdot 4!}=2933186256000$

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