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⦿ When clockwise ↻ & anticlockwise ↺ arrangement are same: Formation of Garland

we are to arrange n beads in a circle to form a garland.
Here if we look at garland clockwise ↻ or anticlockwise ↺ both look will be same. i .e. ↻ & ↺ arrangement are not different.

When  clockwise ↻ & anticlockwise ↺ arrangement are not different then number of circular arrangements of n things =

(Q). Find the number of ways in which 10 different colour beads can be arranged to form a necklace.
Solution:-

\frac{{(10 - 1)!}}{2}
=\frac{{9!}}{2} Answer