Painting Squares

Discrete Mathematics Level 2

How many ways are there to paint a \(3\times3\) grid with three colors such that each row and column has all three distinct colors?

Note: If you rotate the above illustration by \(90^\circ, 180^\circ\) or \(270^\circ\), they each count as different ways to paint the \(3\times3\).

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 6 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.