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:
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:
Solution
✅ Correct Option: 1
Each man must sit next to his wife, so treat each couple as one block.
There are couples, so blocks. Being British or Indian does not change the counting.
items around a circle can be arranged in ways.
Ways to arrange blocks
Inside each block, husband and wife can swap places in ways.
For blocks ways
Total ways
Therefore, the number of arrangements is .
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