Using the fundamental counting theorem, it is found that there are 256 ways for the 100 pages to be assigned to the four printers.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem, for each of the 4 groups of pages, there are 4 ways that they can be printed, and the groups are independent, hence [tex]n = 4, n_1 = n_2 = n_3 = n_4 = 4[/tex].
Thus:
[tex]N = 4 \times 4 \times 4 \times 4 = 4^4 = 256[/tex]
There are 256 ways for the 100 pages to be assigned to the four printers.
A similar problem is given at https://brainly.com/question/24067651
