Beads

Three beads are threaded on a circular wire and are coloured either red or blue. Can you find all four different combinations?

Problem

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Beads
Three beads are threaded on a circular wire and are coloured either red or blue.

Can you find all four different combinations?

You now repeat the following actions over and over again:

  • between any two beads of the same colour put a red bead
  • between any two beads of different colours put a blue bead
  • then remove the original beads.

Describe what will happen to each of the combinations.