Schedule for Math 106
(Combinatorics)
Exercises in red
are due next class.
Exercises in green should already have been submitted.
Dates 
Text Reading Assignments 
Homework & Class
Handout Submissions 
Quizzes & Exams 
01/12 M (Day 1) 
Section 1  Introduction 
Section #1
Paragraph 

01/14 W (Day 2) 
Section 2  Tree Diagrams 
Section #2
Paragraph & Section 1
Homework Problems #1, 2, 4 (Hints) 

01/16 F (Day 3) 
Section 3  Recipes 
Section #3
Paragraph & Section 2
Homework Problems #1, 2, 3, 5, 6, 7, 8, 9, 11, 12 (Hints) 

01/19 M (Day 4) 
Section 4  Permutations 
Section #4
Paragraph & Section 3
Homework Problems #1, 2, 3, 4, 5, 6, 7, 8, 9 (Hints) 

01/21 W (Day 5) 
Section 5  Combinations 
Section 4
Homework Problems #1, 2, 3, 4, 5, 6, 7, 8, 9, 10 (Hints) 

01/23 F (Day 6) 
Section 5  Combinations Section 6  More Ordered
Arrangements 
Section #5
Paragraph & Section 4
Homework Problems #11, 12, 13, 14, 15 (Hints) 

01/26 M (Day 7) 
Section 6  More Ordered
Arrangements 
Section #6
Paragraph & Section 5
Homework Problems #3, 4, 5, 6, 7, 8, 9(just set up answer without
calculating), 10, 11 (Hints) 

01/28 W (Day 8) 

Review Sheet
posted here 
Quiz #1 on Sections 1 to 5 
01/30 F (Day 9) 
Section 7  Permutations
with Repeated Objects 
Section 6
Homework Problems #1, 2, 3, 4, 5, 6, 7, 8, 9, 10 (Hints) 

02/02 M (Day 10) 
Section 7  Permutations
with Repeated Objects 
Section #7
Paragraph & Section 7
Homework Problems #1, 2, 3, 4, 5 

02/04 W (Day 11) 
Section 8  Pascal’s Triangle Section 9  Binomial Expansion 
Section #8
Paragraph & Section 7
Homework Problems #6, 7, 8, 9 (Hints) 

02/06 F (Day 12) 
Section 9  Binomial
Expansion 
Section 8
Homework Problems #1, 2, 3, 4, 5, 6, 7, 8, 9, 10 (Hints) Section 9
Homework Problems #1, 2, 3, 4 (Hints) 

02/09 M (Day 13) 

Review Sheet
posted here 
Quiz #2 on Sections 6 to 8 
02/11 W (Day 14) 

Section #9
Paragraph & Section 9 Homework
Problems #5, 6, 7, 8, 9, 10, 11, 12 (Hints) Review
Exercises (page 81) #1, 2, 3a, 4, 5, 6, 7, 8, 9, 10, 11 Sample Test
#1 (page 83) #1, 2, 4, 5, 6 

02/13 F (Day 15) 

You may
write anything you want on the colored sheet distributed in class and use it
during the exam. Exam Practice
Problems are posted here and answers can
be checked here 
Exam #1 on
Sections 1 to 9 
02/16 M (Day 16) 
Section 11  Subsets 


02/18 W (Day 17) 
Section 12  Linear
Equations: A first Try 
Section #11
Paragraph & Section 11 Homework
Problems #1, 2, 3, 4, 5, 6, 7, 8 (Hints) 

02/20 F (Day 18) 
Section 13  Nonadjacent
Objects 
Section #12
Paragraph & Section 12
Homework Problems #1, 2, 3, 4, 5, 6 (Hints) 

02/23 M (Day 19) 
Section 13  Nonadjacent
Objects 
Do Exercise
#5 on Section #13 Handout (on a separate sheet of paper to be submitted) 

02/25 W (Day 20) 
Section 14  Linear
Equations with Unit Coefficients 
Section #13
Paragraph & Section 13
Homework Problems #1, 2, 3, 4, 5, 6, 7, 8, 9 (Hints) 

02/27 F (Day 21) 
Section 14  Linear Equations with Unit
Coefficients 
Section 14
Homework Problems #1, 4, 5, 12 (Hints) 

03/02 M (Day 22) 
Review Sheet
posted here 
Quiz #3 on Sections 11 to 13 

03/04 W (Day 23) 
Section 15  Equations With
Restricted Solutions 
Section #14 Paragraph & Section 14 Homework
Problems #2, 3, 8, 9, 10, 11 (Hints) 

03/06 F (Day 24) 
Section 15  Equations With
Restricted Solutions 
Exercise #3 on the Section
#15 Handout 

03/16 M (Day 25) 
Subsets, Strings, Equations
Handout 
Section #15 Paragraph & Section 15 Homework
Problems #1, 2, 3 (Hints) Exercise #1 on Subsets,
Strings, Equations Handout (to be done in class) 

03/18 W (Day 26) 
Review Sheet
posted here 
Quiz #4 on Sections 14 & 15 

03/20 F (Day 27) 
Subsets, Strings, Equations
Handout Section 16 
Inclusion/Exclusion (#1 on Handout) 
Exercise #2 on Subsets,
Strings, Equations Handout (to be done in class) 

03/23 M (Day 28) 

Review Exercises (page 148)
#1abc, 2abcdeg, 5, 6 Sample Test #2
(page 150) #1abcdfgh, 3 

03/25 W (Day 29) 

You may
write anything you want on the colored sheet distributed in class and use it
during the exam. Exam Practice
Problems are posted here and answers can be
checked here 
Exam #2 on
Sections 11 to 15 
03/27 F (Day 30) 
Section 16 
Inclusion/Exclusion (#2, 3, 4 on Handout) 
Section 16 Homework Problem
#3 (Hints) 

03/30 M (Day 31) 
Section 16 
Inclusion/Exclusion (#6, 7 on Handout) 
Section 16 Homework
Problems #4, 5 (Hints)
& Exercise #5 on the Section
#16 Handout 

04/01 W (Day 32) 
Section 17  More Equations
With Restricted Solutions 
Section 16 Homework
Problems #6, 7 (Hints) 

04/06 M (Day 33) 
Section 17  More Equations
With Restricted Solutions 
Section 16 Homework Problem
#8 (Hints)
& Section 17 Homework
Problems #1, 2, 3, 4 (Hints) 

04/08 W (Day 34) 
Section 19  Probability 
Section #16 Paragraph & Section 16 Homework Problem
#2 (Hints)
& Section 17 Homework
Problems #5, 6, 7, 8 (Hints) 

04/10 F (Day 35) 

Review Sheet
posted here 
Quiz #5 on Section 16 
04/13 M (Day 36) 
Section 19 – Probability 
Section #17 Paragraph & Exercise #2 on the Section
#17 Handout & Section 19 Homework
Problems #1, 2, 3, 4, 5 (Hints) 

04/15 W (Day 37) 

Review Exercises (page 148)
#1d, 2f, 7, 8 Sample Test #2 (page
150) #1e, 4 

04/17 F (Day 38) 

You may
write anything you want on the colored sheet distributed in class and use it
during the exam. Exam Practice
Problems are posted here and answers can be
checked here 
Exam #3 on
Sections 16 and 17 
04/20 M (Day 39) 
Section 20  Dice 
Section #19 Essay Questions
& Section 19 Homework
Problems #6, 7, 8, 9, 10 (Hints) 

04/22 W (Day 40) 
Section 20  Dice 
Section 20 Homework
Problems #1, 2 (Hints) Sample Final (page
253) #1, 2, 5, 7, 9a Review Exercises (page 148)
# 10, 11, 12 Sample Test #2 (page 150)
#5 

04/24 F (Day 41) 
Section 20 Homework
Problems #3, 4 (Hints) Review Sheet
posted here 
Quiz #6 on Section 19 

04/2705/01 

You may
write anything you want on the colored review sheet distributed in class and
use it during the exam. It is up to you to do the exercises and
check that you can get the correct numerical answers posted here. 
Final Exam (in
scheduled time slot) covering Sections 1 to 20 excluding 10 and 18 