Question

How many different garlands can be made with $13$ different colored beads?

• A. $13!$
• B. $12!$
• C. $\frac{12!}{2}$
• D. $\frac{13!}{2}$

Answer 1

The correct option is C $\frac{12!}{2}$

Number of coloured beads $=13$

In garlends the clockwise and anticlockwise arrangments are same

Total possible arrangements of $n$ objects

$\Rightarrow \frac{(n-1)!}{2}$

Here $n=13$

Total arrangements

$\Rightarrow \frac{12!}{2}$