A one-hundred-twenty-five page document is being printed by five printers. Each page will be printed

exactly once.

(c) Suppose that all the pages are black and white, but each group of 25 con-

secutive pages (1-25, 26-50, 51-75, 76-100, 101-125) must be assigned to the

same printer. Each printer can be assigned 0, 25, 50, 75, 100, or 125 pages

to print.

How many ways are there for the one-hundred-twenty-five pages to be assigned to the five

printers?

I am having trouble with this question. Initially I thought the answer would be 5^5, however, when I reread the question and saw that one printer could be assigned no pages, one could be assigned all one-hundred-twenty-five pages, and everything in between, I cannot think of how to tackle this problem.