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 the examination with 16 students in each class. It is desired that i each row, all students belong to the same class and that no two adjacent row are allotted to the same class. In how many ways can these 32 students be seated?

Explanation

To solve the problem of seating 32 students from two classes in an examination hall with specific constraints, we can follow these steps:

### Step 1: Understand the seating arrangement
We have:
- 4 rows of chairs (R1, R2, R3, R4)
- Each row has 8 chairs
- 16 students from Class 1 and 16 students from Class 2

...