On a 3 by 3 grid, the red, yellow, blue and green 2 by 2 squares are placed in some order. They have to be placed in their location (IE not moved somewhere else). There are \( 4 ! = 24 \) different ways to place these squares.
Of these 24 different ways, how many distinct results would we get?
For example, placing 1432 and 4132 will both yield