Mock AIME 5 2005-2006 Problems/Problem 15
Contents
[hide]Problem
colored beads are placed on a necklace (circular ring) such that each bead is adjacent to two others. The beads are labeled , , , around the circle in order. Two beads and , where and are non-negative integers, satisfy if and only if the color of is the same as the color of . Given that there exists no non-negative integer and positive integer such that , where all subscripts are taken , find the minimum number of different colors of beads on the necklace.
Solution
Solution
See also
Mock AIME 5 2005-2006 (Problems, Source) | ||
Preceded by Problem 14 |
Followed by Problem 15 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 |