How many different ways are there to color a $3\times3$ grid with green, red, and blue paints, using each color 3 times?

Try other painting $n\times n$ grid problems .

The answer is 1680.

**
This section requires Javascript.
**

You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.

Relevant wiki: Permutations with RepetitionThere are 9 possible squares to paint. There are 3 distinct colors that will be painted on 3 squares each. This is a case of Permutations with Repetition.

The number of permutations is $\dfrac{9!}{3!3!3!}=\boxed{1680}$ .