A psychology laboratory conducting dream research contains 3 rooms, with 2 beds in each room

# A psychology laboratory conducting dream research contains 3 rooms, with 2 beds in each room

J
240 points

A psychology laboratory conducting dream research contains 3 rooms, with 2 beds in each room. If 3 sets of identical twins are to be assigned to these 6 beds so that each set of twins sleeps in different beds in the same room, how many assignments are possible?

A psychology
jeffp

8.7k points

The twins in each room can be ordered in 2! ways. And the pairs or twins can be ordered in the 3 rooms in 3! ways,

$$(2!)^3 \cdot 3! = 48$$ arrangements.

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