IBM Ponder This #081 · January 2005

Puzzle for January 2005

Our New Years puzzle was submitted by John G. Fletcher,
who heard it from Marc Roth.

A necklace is made up of 35 beads forming a closed loop, each bead being of one of 7 distinct colors. Find an arrangement for the beads such that every one of the 35 combinations of the 7 colors taken 3 at a time (i.e. each triple of different colors) occurs exactly once as a set of 3 consecutive beads.

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The first 100 people who answer correctly will be listed. The answer will be posted a week after the 100th is received, or at the end of the month.

Solution

Best opened after a real attempt

To be added.