Official Solution:
5 couples sit on 10 chairs around a round table. If each couple must be seated together, how many possible arrangements are there?
A. 256
B. 512
C. 768
D. 1,024
E. 1,080
The number of arrangements of the 5 couples in a circle is \((5-1)! = 4!\). The members of each couple can be arranged in \(2!\) ways. Thus, the total number of arrangements is \(4! * 2! * 2! * 2! * 2! * 2! = 24*2*2*2*2*2 = 768\).
Answer: C
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