A circular necklace contains n
beads. Each bead is black or white. How many different
necklaces can be made with n
There is no clasp to identify a specific point on the chain, and a flipped over necklace is still the same necklace.
To get you started:
With 1 bead, the necklace can be either 1 black or 1 white bead.
With 2 beads, the necklace can be either 2 black, 2 white, or 1 black-1 white
With 3 beads, the necklace can be either 3 black, 3 white, 2 black-1 white, 2 white-1 black, etc...
# Beads Number of Necklaces
(In reply to re(2): There is an error is this puzzle
"white black black white white black
black white white black black white"
Don't forget that if you flip the necklace over, and it's the same as another necklace, then it doesn't count.
If you look at the 4th rotation you made, and then flip the necklace over, it's the same as the one above it.
Posted by nikki
on 2004-08-19 12:58:30