Answer: a) 2092278989 b) 576, c) [tex]\dfrac{576}{2092278989}[/tex]
Step-by-step explanation:
Since we have given that
Number of students = 16
Number of desks = 16
a) How many days must pass before the class must repeat a seating arrangement?
[tex]16!=2092278989[/tex]
If the number of rows = 4
b) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?
[tex]4!\times 4!\\\\=24\times 24\\\\=576[/tex]
c) How many seating arrangements are there that put Larry, Moe, Curly, and Shemp in the front seats?
[tex]\dfrac{576}{2092278989}[/tex]
Hence, a) 2092278989 b) 576, c) [tex]\dfrac{576}{2092278989}[/tex]