Math 76O-143 Finite Mathematics
This is Paper Test # 5 [Go to web quiz 5]

Numerical answers are in our text, Rolf ;
Methods will be discussed using other problems.
Links to other web pages were not on original test;
CAUTION: Prof McFarland makes new tests each semester.

Mathematics 143 Test 5 (Quiz) Spring 2008
[A] Credit given in proportion to the clarity of your WORK        
[B] You may write answers using the symbols n!, P(n,r), C(n,r)
Average grade on this test : 6.75
See future grade prospects?
__________________
  PRINT name above
grades
 
 
 
  paper test   web quiz
____________________
Total (max = 10)

[1]
(website, assigned) 31 students were asked whether they used PCs and/or Macs, with these results :
25 students used only one of the two computer types
22 students used PCs
5 students used neither computer type

I'm the number one
in the Venn Diagram
(a)(1 pt) Define in English the SETS (not numbers) P and M in the Venn diagram at the right,
so that n(P) = 22 and n(P' M') = 5. If you define P and M as numbers, no credit.
 
Let P =
Let M =
  (b)(2 pts) Place numbers in the compartments of the Venn diagram at the right, so as to interpret the information given in the boxed problem above.
  (c)(1 pt) Assuming your answers to (b) above are correct, how many people used Macs?
  (d)(1 pt) Assuming your answers to (b) above are correct, how many people did not use Macs?

[2] (a)(Pg 474 #45 part)(1 pt) GAS fraternity must select 3 of its 10 members to organize a weekend party.
How many such 3-person committees are possible?
 
 
(The answer is between 100 and 150    
  (b)(Pg 459 #19, two numbers changed)(1 pt) Wells Hall hires a DJ for a dance. The DJ must create a list of 30 songs from his collection of 1000 songs. If two lists contain the same 30 songs but in different order, they are considered different lists. How many lists of 30 songs are possible if no song is repeated?
 
 
The answer is between 1089 and 1090 ; this is so large than an exact answer
can be given only using P(n.r), C(n.r) or factorial symbols
   
  (c)(Pg 448 #25)(1 pt) How many 7-digit telephone numbers can be formed if the first digit must be neither "0" nor "1" ? (thus, 234-5677 is a phone number, but 123-4567 is not)
 
 
(the answer is between 5 million and 10 million)    
     
(d) (Website #10)(2 pts) On the Venn diagram at the right, shade in the portion that represents the set
(A B)' C
   
These Venn Diagrams are so cute !