12 differently coloured beads are arranged around a necklace. How many different arrangements are possible?

Question

terenzreignz · Answer

Circular permutation.
To arrange n distinct objects in a circle, then the number of possibilities is given by 
$$\Large (n-1)!$$
not so bad...

anonymous · Answer

yes, but thats not the answer. The answer is 19958400. The (n-1)! applies to tables and stuff but there is something more to it for necklaces?

terenzreignz · Answer

I must be missing something...

terenzreignz · Answer

Perhaps there is a pair of beads with the same colour?

terenzreignz · Answer

Please re-read it...

anonymous · Answer

im not understanding this part.... file:///var/folders/sf/y4j2d3ss49v10ph9l7tkb5_00000gn/T/com.skitch.skitch/Permutations_Help-4.png

terenzreignz · Answer

I'm sorry what? :D
Maybe you ought to take a screenshot instead...

anonymous · Answer

attachment

terenzreignz · Answer

Oh... of course. Silly me :D

anonymous · Answer

please explain?

terenzreignz · Answer

Yes. Let's illustrate with a simple example with five numbers around in a circle, okay?

anonymous · Answer

yup

terenzreignz · Answer

Say we have this permutation...|dw:1377394725149:dw|