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) Fall 2009
[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 : 7.46
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Total (max = 10)

[1]
(#21 Pg 437) In a group of 50 students, 27 students owned a laptop, 39 students owned a graphing calculator, and 25 students owned both of these devices.
 
(a)(1 pt) Define in English the SETS (not numbers) A and B in the Venn diagram at the right, so that n(A) = 27 and n(B) = 39. If you define A and B as numbers, no credit.
Let A =
Let B =
(b)(2 pts) Place numbers in all 4 compartments of the Venn diagram at the right, interpreting the information given in the boxed problem above.
(c)(1 pt)Assuming that your answers to (b) above are correct, how many students owned exactly one of these 2 devices (not both)?
(d)(1 pt)Assuming that your answers to (b) above are correct, how many students owned neither of these devices?

[2] (a)(Pg 424 #25, one number changed)(1 pt) Mr. Ling has bought 50 different gifts, and plans to give one of these gifts to each of his 50 great-grandchildren. In how many ways can Mr. Ling distribute these 50 gifts?
 
 
(The answer is between 1060 and 1070; the answer is too large to state exactly, usless you heed [B] above.)    
  (b)(Pg 438 #23a)(1 pt) In a card game, a 4-card hand is to be selected from a "pile" of 7 cards. How many such 4-card hands are possible?
 
 
(The answer is between 25 and 50)    
  (c)(Pg 413 #13b)(1 pt) How many hands are there which contain one card from each suit of a bridge deck? (the deck contains 4 suits, and each suit contains 13 cards)
 
 
(the answer is between 20,000 and 30,000)    
     
(d) (Website #3)(2 pts) On the Venn diagram at the right, shade in the portion that represents the set
A' (B C)'
   
Jason found this on McFarland's website