Question

In how many ways can 24 persons be seated around a circular table, if there are 13 seats?

• A. $\frac{24!}{13\times 11!}$
• B. $\frac{22!}{14\times 12!}$
• C. $\frac{23!}{13\times 11!}$
• D. $\frac{24!}{12\times 12!}$

Answer 1

The correct option is A $\frac{24!}{13\times 11!}$

We need to select 13 people and then arrange them in a circle: $\frac{{}^{24}{P}_{13}}{13}=\frac{24!}{11!\times 13}$