Question

The number of circular permutations of $n$ different objects is?

• A. $n!$
• B. $n$
• C. $\left(n-2\right)!$
• D. $\left(n-1\right)!$

Answer 1

The correct option is D

$\left(n-1\right)!$

Explanation for correct option

The number of circular permutations on different objects taken all at a time is $\left(n-1\right)!$

For example:

In how many ways can $6$ people be seated at a round table?

The number of ways will be $\left(6-1\right)!=120$

Hence, $\left(\mathrm{D}\right)$ is the correct option.