Question

A cabinet of ministers consists of 11 ministers, one minister being the chief minister. A meeting is to be held in a room having a round table and 11 chairsround it, one of them being meant for the chairman. The number of ways in which the ministers can take their chairs, the chief minister occupying the chairman's place, is

• A. $\frac{1}{2}(10!)$
• B. $9!$
• C. $10!$
• D. none of these

Answer 1

The correct option is C $10!$

These are circular permutations
so,
$=(n-1)!$ = $10!$