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Mrs. F has invited several wives of delegates to the United Nations for an informal luncheon.
She plans to seat her 9 guests ina row such that each lady will be able to converse with the
person directly to her left and right. She has prepared the following list. Mrs. F speaks English
only. Mrs. G speaks English and French. Mrs. H speaks English and Russian. Mrs. J speaks
Russian only. Mrs. K speaks English only. Mrs. L speaks French only. Mrs. M speaks French
and German. Mrs. N speaks English and German. Mrs. O speaks English only. How many
distinct seating arrangements are possible? Give all possible seating arrangements. Note that
ABCD and DCBA are the same.
Solution
126 distinct seating arrangements are possible. :)

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  • 1. Mrs. F has invited several wives of delegates to the United Nations for an informal luncheon. She plans to seat her 9 guests ina row such that each lady will be able to converse with the person directly to her left and right. She has prepared the following list. Mrs. F speaks English only. Mrs. G speaks English and French. Mrs. H speaks English and Russian. Mrs. J speaks Russian only. Mrs. K speaks English only. Mrs. L speaks French only. Mrs. M speaks French and German. Mrs. N speaks English and German. Mrs. O speaks English only. How many distinct seating arrangements are possible? Give all possible seating arrangements. Note that ABCD and DCBA are the same. Solution 126 distinct seating arrangements are possible. :)