Find the number of chains that can be prepared using 5 different coloured beads

Find the number of chains that can be prepared using 5 different coloured beads

A
5!
B
$\frac{1}{2} \times 5!$
C
4!
D
$\frac{1}{2} \times 4!$

Solution:

Given 5 different coloured beads

Number of chains that can be prepared using 5 different coloured beads

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

$\Rightarrow \frac{1}{2} (5 - 1)! \Rightarrow \frac{1}{2} \times 4!$

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