Grades 11-12 Video Solutions 2023-2023_11-12

Video Transcription

Video Summary

To determine the largest number of beavers in a row of 23 seats where each animal has at least one kangaroo neighbor, we use a pattern strategy. Since three beavers together violate the condition, use the pattern "BBKK". This structure allows two beavers to be neighbors while ensuring at least one kangaroo is adjacent, meeting the requirement. Repeating "BBKK" five times fills 20 seats with 10 beavers and 10 kangaroos. The remaining three seats can accommodate one additional beaver (BKK), reaching a maximum total of 11 beavers. Hence, 11 is the largest possible number of beavers.

Keywords

beavers

kangaroos

seating pattern

maximum number

BBKK strategy