Math Arguments
Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.
Coloring Squares
One can shade a max of three squares in a 3x3 grid so that no row or column contains more than 1 shaded square.
Question
In a 3x3x3 cube with 27 cells, what's the max number of cells on can shade so that no row or col of 3 cells has more than one shaded?
How many ways can this be done?
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Source:
James Tanton
One can shade a max of 3 squs in a 3x3 grid so that no row or col contains more than 1 shaded squ. There are 6 ways to do this. In a 3x3x3 cube with 27 cells, what's the max nmbr of cells one can shade so that no row or col of 3 cells has more than one shaded? Count of options? pic.twitter.com/71fpVU5LZE
— James Tanton (@jamestanton) July 21, 2022
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