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School Fair Necklaces
Description
Have you ever thought about the mathematics behind the art of stringing beads? This challenge will get you thinking about symmetry and all the ways you can create different necklaces with the same beads. Each necklace must have 8 beads, four of one color and four of another, and all must be symmetrical.
How many different necklaces can you make? Can you find them all? How do you know there aren't more? What would happen if you had 9 beads, five of one color and four of another? What about 10 beads, five of each color?
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