Rätsel und Puzzles

Titel der Aufgabe

Nr. 149

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Rules: A schoolboy took a few numbered pegs and linked some of them together with bands. His young brother rearranged the pegs and hid their numbers, but the schoolboy was able to determine the numbers of all the pegs by the position of the bands:

Now we add an extra twist to this well-known puzzle: The brother not only rearranges the pegs but also removes one of the bands. Construct an arrangement of pegs and bands so that after any rearrangement and removal of any one of the bands, it is possible to determine the numbers of all the pegs.

Note that the example above fails to meet these conditions. If we remove band 5-6, then two variants exist: