Grades 9-10 Video Solutions 2014-Levels 9&10 Video Solutions 2014 problem30

Levels 9&10 Video Solutions 2014 problem30

Video Transcription

Video Summary

The problem involves 2,014 people in a row, each declaring there are more liars to their left than knights to their right. To solve it, analyze the first, middle, and last people in the row. The first person must be a liar because they falsely claim there are more liars to their left. The last person must be a knight because their truth is that there are no knights to their right. This pattern continues alternating liars and knights, leading to the conclusion that the first 1,007 are liars. Thus, the number of liars is 1,007.

Keywords

liars

knights

pattern

row

solution