Grades 9-10 Video Solutions 2021-video 2021 9-10/27

Video Transcription

Video Summary

In the problem, a 4x4 table needs its cells painted black based on specified row and column numbers. The second row and column remain unshaded due to zeros. By exploring shading options column by column, it was determined there are three different configurations if the top two cells of the first column are shaded, and one configuration each if either the top and bottom or the bottom two cells are shaded. Altogether, the table can be painted in five distinct ways. So, the total number of ways to paint the table is five.

Keywords

4x4 table

cell shading

row and column numbers

distinct configurations

painting methods