Grades 9-10 Video Solutions 2013-Level 9&10 Video Solutions 2013 problem19

Level 9&10 Video Solutions 2013 problem19

Video Transcription

Video Summary

There are 12 different paths from point A to point B, traveling only along the edges in the directions of the arrows. The paths are categorized based on initial movements from A: moving up yields 3 paths, moving to the right results in 6 paths, and moving away to the opposite face provides 3 paths. Each category involves exploring combinations of subsequent moves along edges and vertices. The problem employs enumeration to determine the total number of distinct paths by systematically analyzing each possible direction at the beginning and subsequent navigable options.

Keywords

path enumeration

distinct paths

directional movement

combinatorial analysis

vertex navigation