Using the arrangements formula, it is found that there are 24 ways to arrange the people as such one works each quarter.
The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, 4 people will be arranged, hence:
[tex]A_4 = 4! = 24[/tex]
Hence, they can be arranged in 24 ways.
More can be learned about the arrangements formula at https://brainly.com/question/24648661
