Grades 9-10 Video Solutions 2025-2025_9-10

Video Transcription

Video Summary

Anastasia needs to fill a 2x4 grid with numbers 1 to 8, ensuring each number is smaller than the number to its right and below. The top left cell must be 1 and the bottom right cell 8. The placement of 2 and 7, possible in either the adjacent right or lower cell of 1 and 7 respectively, creates four scenarios. Each scenario varies in complexity based on the available numbers and positions. Case 1 yields 6 arrangements, Case 2 and Case 3 each yield 3 arrangements, and Case 4 yields 2. In total, there are 14 different ways to fill the grid.

Keywords

grid

arrangements

numbers

scenarios

complexity