MODULE THREE PROBLEM SET
This document is proprietary to Southern New Hampshire University. It and
the problems within may not be posted on any non-SNHU website.
TESTBANKSNERD
1
, Directions: Type your solutions into this document and be sure to show all steps
for arriving at your solution. Just giving a final number may not receive full credit.
PROBLEM 1
A 125-page document is being printed by five printers. Each page will be printed
exactly once.
(a) Suppose that there are no restrictions on how many pages a printer can
print. How many ways are there for the 125 pages to be assigned to the
five printers?
One possible combination: printer A prints out pages 2-50, printer B prints
out pages 1 and 51-60, printer C prints out 61-80 and 86-90, printer D
prints out pages 81-85 and 91-100, and printer E prints out pages 101-125.
For each of the 125 pages, there are 5 possible choice. Since the choices are
independent, the total number of assignments is
5125
(b) Suppose the first and the last page of the document must be printed in
color, and only two printers are able to print in color. The two color print-
ers can also print black and white. How many ways are there for the 125
pages to be assigned to the five printers?
For pages 1 and 125, we have only 2 choices. However, all other pages
have 5 choices.
Therefore,the total number of ways will be
2 · 5123 · 2 = 22 · 5123 = 4 · 5123
(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 125 pages to be assigned to the five
printers?
Since there are 5 choices for the first group,the other groups of pages we
have also 5 choices. Applying the multiplication rule,the total number of
assignment will be equal to
55 = 3125
This document is proprietary to Southern New Hampshire University. It and
the problems within may not be posted on any non-SNHU website.
TESTBANKSNERD
1
, Directions: Type your solutions into this document and be sure to show all steps
for arriving at your solution. Just giving a final number may not receive full credit.
PROBLEM 1
A 125-page document is being printed by five printers. Each page will be printed
exactly once.
(a) Suppose that there are no restrictions on how many pages a printer can
print. How many ways are there for the 125 pages to be assigned to the
five printers?
One possible combination: printer A prints out pages 2-50, printer B prints
out pages 1 and 51-60, printer C prints out 61-80 and 86-90, printer D
prints out pages 81-85 and 91-100, and printer E prints out pages 101-125.
For each of the 125 pages, there are 5 possible choice. Since the choices are
independent, the total number of assignments is
5125
(b) Suppose the first and the last page of the document must be printed in
color, and only two printers are able to print in color. The two color print-
ers can also print black and white. How many ways are there for the 125
pages to be assigned to the five printers?
For pages 1 and 125, we have only 2 choices. However, all other pages
have 5 choices.
Therefore,the total number of ways will be
2 · 5123 · 2 = 22 · 5123 = 4 · 5123
(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 125 pages to be assigned to the five
printers?
Since there are 5 choices for the first group,the other groups of pages we
have also 5 choices. Applying the multiplication rule,the total number of
assignment will be equal to
55 = 3125
