Perms and Combs - Isn't a bracelet the same as a circle? (1 Viewer)

[coyney]

I'm not sure as to how a) is any different to b) could someone please explain.
a) How many ways can 9 beads be arranged in a circle
8!
b) How many ways can 9 beads be arranged on a bracelet
Judging from the answer they've done 8!/2

Are they not the same thing?

 

[Sy123]

I'm not sure as to how a) is any different to b) could someone please explain.
a) How many ways can 9 beads be arranged in a circle
8!
b) How many ways can 9 beads be arranged on a bracelet
Judging from the answer they've done 8!/2

Are they not the same thing?

A bracelet can be flipped to the other side, making every permutation identical to the one you get when you flip it, and thus you divide by 2

(i think)

 

[Carrotsticks]

A bracelet can be flipped to the other side, making every permutation identical to the one you get when you flip it, and thus you divide by 2

(i think)

Correct.

 

[braintic]

A bracelet can be flipped to the other side, making every permutation identical to the one you get when you flip it, and thus you divide by 2

(i think)

This situation is complicated somewhat when you have some identical beads.