Permutations #2

Probability Level 2

In an examination hall there are four rows of chairs. Each row has 8 chairs one behind the other, there are two classes sitting for examination with 16 students in each class. It is desired in each row, all students belong to same class and no two adjacent rows are allotted to the same class. In how many ways can these 32 students be seated?

2(12!.12!) 3(16!.14!) 3(16!.16!) 3(18!.14!) 2(16!.14!) 2(16!.16!) 2(16!.18!)