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# Correct answer/how to input in calculator?

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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 = ???

Guest Nov 27, 2017
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+17744
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I believe that the answer is:

15C2 x 13C3 x 10C4 x 6C6  =  6 306 300

geno3141  Nov 27, 2017
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+19653
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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?

$$\begin{array}{|rcll|} \hline && \dfrac{15!} {2!~3!~4!~6! } =6306300 \\ \hline \end{array}$$

heureka  Nov 27, 2017