Q: A dormitory at a local school has 4 rooms that contain 2, 3, 4, and 6 beds respectively.
How many ways can 15 students be assigned to these rooms?
A: 15C2 x 13C3 x 10C4 x 4C6 = ???
I believe that the answer is:
15C2 x 13C3 x 10C4 x 6C6 = 6 306 300
\(\begin{array}{|rcll|} \hline && \dfrac{15!} {2!~3!~4!~6! } =6306300 \\ \hline \end{array}\)