Assignment #9 – due September 28th

 

Start studying for test on Thursday.  Work through as many problems as you can.  Bring a list of those you’d like me to go over either to my office hour on Monday (4-6pm) or to my office hour on Tuesday (11am-12noon) or to class on Tuesday.

 

Remember to bring in your Homework #5 so that I can record the grade.

 

Think about Polya’s 4 steps in problem solving – You will need to know them for the test.

Re-read  Section 3.2

Look at tutorials for chapters  1 and 3 for help in answering questions.

Read sections 3.3 and 3.4

Memorize the formulas for

permutations of n objects r at a time and

combination of n objects r at a time

 

Written assignment:

Exercises 1.4

31

 

Exercises 3.1

39b

41c

43

50a

 

Exercises 3.2 

12

23

28

40

 

Exercises 3.3

1,

3

10

 

Exercises 3.4

1c

4

8a

8b

24

45

65

69

 

 

One of the goals of this course is to increase your problem solving skills. To achieve this you need to develop a clear understanding of the strategies you use to solve problems.  For the following problems, explain (in words) the strategy you used to find a solution and how you represented the information associated with the problem (e.g. pictures, graphs, tables, equations, actually building and manipulating a model (simulation).  Include also any questions that arise as you try to understand the problem more clearly.  The important part of these problems is the EXPLANATION  of your STRATEGY  and REPRESENTATION not just the correct answer.  There will be more of these kinds of problems.  You might also tell what chapter in our text they relate to (if you see a relationship). Do each of these problems on a separate page.

 

Pat, Sue, Jim and Tina work in the city as a musician, a lawyer, a stockbroker and a cook (but not necessrily in that order).  Sue carpools with the musician and the lawyer.  Tina plays golf with the lawyer and the cook.  the cook drives to work alone.  Pat envies the lawyer.  What is each person’s occupation?

 

Index cards numbered from 1 to 12 are placed in a box.  Ann, Bob, Cal, Dan  and Ed each pick two cards without replacement and then add the totals of the numbers on their cards.  Two cards remain in the hat.  Ann’s total was 11.  Bob’s was 4, Cal’s was 16, Dan’s was 7, and Ed’s was 19.  Find the numbers picked by each person.