Grades 5-6 Video Solutions 2024-2024_5-6

Video Transcription

Video Summary

In the given problem, the hotel rooms are numbered sequentially from 1 with no numbers skipped. Kangaroo counted the digit '2' appearing 14 times and '5' 3 times in these numbers. The 14th occurrence of the digit '2' happens at room number 32. The 3rd occurrence of the digit '5' happens at room number 25. Thus, rooms like 35 (which contains a '5') and 42 (which contains a '2') are not possible. Therefore, the highest possible room number is limited to 34, as higher numbers involve additional '2's or '5's, hence the largest number of rooms is 34.

Keywords

hotel rooms

sequential numbering

digit occurrence

room limit

number restriction