Grades 7-8 Video Solutions 2021-video 2021 7-8/28

Video Transcription

Video Summary

In a town with 21 truth-telling knights and 2,000 lying knaves, a wizard forms 1,010 pairs from 2,020 people, where 2,000 are called knights and 20 are called knaves. To determine pair types, only knight-knave pairs result in someone being called a knave, requiring 10 such pairs. With 21 knights total, 11 remain after accounting for these pairs, leaving 5 knight-knight pairs. The remaining are knave-knave pairs. Therefore, subtracting 10 knight-knave and 5 knight-knight pairs from the 1,010 total pairs leaves 995 knave-knave pairs.

Keywords

knights

knaves

pairs

wizard

truth-telling