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I tried doing this by brute force and I tried doing 4! And get 24. Is that correct and is there a better way doing this?

zoli
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Che_Federer
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    Call the people A, B, C, D. There are $2$ ways to choose where A goes. For each choice, there are $2$ ways to choose where B goes. And so on. – André Nicolas May 08 '15 at 21:31
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    If the question insists that there is at least 1 person in each room, then there will be 2 less ways. – MonkeyKing May 08 '15 at 21:34

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