Necklace with five bead sets

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A necklace maker wants to know how many different necklaces can be made
according to the following conditions.

1. Beads must be in groups
2. Beads in each group must be one color
3. The only colors to use are red and blue
4. Groups must have no more than 5 beads
5. Each necklace must alternate color groups

How many different styles of necklaces can you create?


Draw different styles and see how many can be created.

After a few have been drawn, look for a pattern that might suggest additional styles.

If the pattern is reversed, will that make additional styles?





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