Respuesta :
Answer:
5^125 ways
Step-by-step explanation:
We proceed as follows
Let us label the five printers as A,B,C,D and E
Each printer can print any number of pages since there are no restrictions
Therefore for every page to be printed , there are 5 printer options available
Page 1 = 5 options
Page 2 = 5 options and so on till page 125
So total number of ways to assign 125 pages to five printer = 5*5*5*......*5 (125times)
So total ways = 5^125 ways
Using the Fundamental Counting Theorem, it is found that there are [tex]5^{125}[/tex] ways for the 125 pages to be assigned to the five printers.
Fundamental counting theorem:
States that if there are n things, each with 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:
- 125 pages, each can be printed by five printers, hence [tex]n_1 = n_2 = \cdots = n_{125} = 5[/tex].
[tex]N = n_1 \times n_2 \times \cdots \times n_{125}[/tex]
5 is multiplied by itself 125 times, hence:
[tex]N = 5^{125}[/tex]
There are [tex]5^{125}[/tex] ways for the 125 pages to be assigned to the five printers.
A similar problem is given at https://brainly.com/question/19022577
