Lemma
MediumCounting
#918 · Combinatorics · Counting

Seating Americans and Englishmen alternately

Seven Englishmen and seven Americans are to be seated around a round table so that no two Americans sit next to each other. How many distinct seatings are possible (rotations considered identical)?

~5 minAnswer checked instantlycircular arrangementsgap method

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XI. Permutations and Combinations, Examples XI.b, No. 18 (part 2)

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