Grades 9-10 Video Solutions 2023-2023_9-10

Video Transcription

Video Summary

To determine the number of ways the word "banana" can be read within a grid by moving edge-connected cells, casework was utilized, focusing on the first "N" reached. The potential positions for this "N" were analyzed in three main cases. <br /><br />1. If the first "N" is in the first row, third column, it yields 14 ways.<br />2. If the first "N" is in the second row, second column, it results in 56 ways.<br />3. The case for the "N" in the third position mirrors the first, also resulting in 14 ways.<br /><br />Summing up these possibilities gives a total of 84 possible ways to read "banana" from the grid.

Keywords

grid

banana

casework

combinatorics

pathfinding