Two British and three Indian men and their wives are to be seated around a circular table. If the seating arrangements are defined only by the relative positions of the people, then the total number…
Question and options
Two British and three Indian men and their wives are to be seated around a circular table. If the seating arrangements are defined only by the relative positions of the people, then the total number of ways in which each British man can be seated next to his wife and each Indian man can also be, simultaneously, seated next to his wife is:
- 768
- 790
- 850
- 904
Answer and explanation
Correct answer: A - 768
Treat each couple as one unit: 5 units around a circle in (5-1)! = 24 ways, and each couple can sit in 2 orders: 2^5 = 32. Total = 24 x 32 = 768.
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