Question

The number of ways in which $29$ persons be seated around a table if there are $9$ chairs, is

• A. $\frac{{}^{29}{P}_9}{2}$
• B. $\frac{{}^{29}{C}_9}{2}$
• C. $\frac{{}^{29}{P}_9}{3}$
• D. None of these

Answer 1

Answer: (B)

In case of circular table, clockwise and anticlockwise arrangements are different, number of circular permutations of $n$ different things taken $r$ at a time
$=\frac{{}^n{P}_r}{r}$
$\therefore$ Required arrangements $=\frac{{}^{29}{P}_9}{9}$