In an examination hall there are four rows of chairs. Each row has 6 chairs one behind the other. There are two classes sitting for the examination with 12 students in each class. It is desired that in each row, all students belong to the same class and that no two adjacent rows are alloted to the same class. In how many ways can these 24 students be seated?

Options

A. `2(12!)^2`
B. `3!xx(12!)^2`
C. `(6!)^2`
D. none of these

Answer

A