Math 103, Section 11, Tuesday, February 15, 2011
Chapter 4 Handout
1
1. Submitted Homework Assignment
for Chapter 4 is at Sakai.
It is in the Assignments section and is called:
Assignment Chapter 4A,
Please do Exercises Exercises 4, 14, and 20 , pages 144146 and
upload to Sakai.
Solutions to Chapter 1 homework is at Sakai.
CWPE means consistent with previous error. For example, on Quiz#2, if you
made a mistake in the top table finding the critical players, I subtracted points for
the error in the top table. When you filled in the Banzhaf power index in the
bottom table, I looked at your answers in the top table, and even if they were
wrong, if you used your wrong answers to correctly fill in the bottom table, I gave
you full credit in the bottow table and wrote CWPE.
Homework to be discussed in class on Friday, February 18:
Page 144146, problems 1,5,15
Review questions:
1. We have 41 students in our class.
a. If everyone shakes hands with everyone else, how many handshakes will there be?
b. If everyone forms one long line for a picture, how many ways are there to arrange
yourselves?
41!=
3.34525E+49
If you could form a new arrangement every second, how long would it take to form all
the arrangements?
41!=
3.34525E+49 seconds
If you could form 10^12 new arrangements every second, how long, in years,
would it
take to form all the arrangements?
It would take 41!/10^12=3.3E+37 seconds
Divide by 60 to get 5.57542E+35 minutes
Divide by 60 to get 9.29237E+33 hours
Divide by 24 to
get 3.87182E+32 days
Divide by 365 to get 1.06077E+30 years
As a preview to Chapter 4:
What was the first Presidential veto in U.S. history?
What apportionment method are we using today?
Excel can be very useful in chapter 4.
Please see me during office hours if you would
like to learn Excel .
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 Spring '07
 Berkowitz
 Math, Division, Massachusetts, Natural number

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