Connecting Isles

Logic Level 3

Find the total number of distinct ways to join the six islands shown above by bridges such that

  • each island can be reached from any other island via the bridges,
  • 1 of the islands has 1 bridge leading from it,
  • 2 of the islands each have 2 bridges leading from them, and
  • 3 of the islands each have 3 bridges leading from them.

Details and Assumptions:

  • Neither of the 2 islands on the far left can be joined directly to either of the 2 islands on the far right.
  • There can be more than 1 bridge between 2 islands.
  • Mirror images and 180-degree rotations are not counted as distinct.

  • Diagonal bridges are not allowed.

Adapted from a Puzzle book.

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