Grades 5-6 Video Solutions 2015-Level 5&6 Video Solutions 2015 problem28

Level 5&6 Video Solutions 2015 problem28

Video Transcription

Video Summary

The problem involves coloring three different cells in a strip of seven where no two colored cells are neighboring. Using one color, examples were tested, starting with the first, third, and fifth cells. Various patterns were explored by shifting the colored cells, ensuring no repetitions occur. Through symmetric solutions and trying different combinations without duplicating existing patterns, ten unique ways were identified to color the cells. Thus, the answer to the problem is ten distinct arrangements, corresponding to choice E.

Keywords

coloring cells

non-neighboring

unique arrangements

combinatorial problem

symmetry