Lemma
MediumCounting
#870 · Combinatorics · Counting

Crew for an eight‑oared boat

An eight‑oared boat requires a crew of eight rowers and one steerer. From 11 men, 3 can steer but cannot row, and the remaining 8 can row but cannot steer; among the rowers, two can row only on the bow side. In how many ways can the crew be selected and arranged?

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H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XI. Permutations and Combinations, Examples XI.a, No. 30

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