There are ten spots where you can put a white flag. 10
There are nine spots where you can put a second white flag. 9
There are eight spots where you can put a green flag. 8
Likewise --- 7
Likewise --- 6
There is only one way to fill the remaining spots with red flags.
Total: 10 x 9 x 8 x 7 x 6 = 30,240
