Chapter 3: Combinatorics | ||||||
Duration: 2 hours, 7 minutes and 50 seconds | ||||||
Section |
Section Notes (PDF File) |
Solution (PDF File) |
Items Covered |
Item Page |
* Video File MP4 |
Duration (minutes) |
Section 3.1 Tree | Trees and Equally Likely Outcomes | Solution | Example 1 and 2 | 3-1 | ch3(part1) | 07.08 |
Example 3 and 4 | 3-3 | ch3(part2) | 04.55 | |||
Example 5 and 6 | 3-5 | ch3(part3) | 07.46 | |||
Section 3.2 | Permutations | Solution | Introduction to Permutation, examples 1 and 2 | 3-7 | ch3(part4) | 12.27 |
Example 3 ; using the formula or the boxes, restrictions, no restrictions, repetition, no repetition, using Or, And, Except. | 3-9 | ch3(part5) | 03.29 | |||
Example 5: 5a to 5f | 3-12 | ch3(part6) | 12.08 | |||
Example 5: 5g to 5i | 3-16 | ch3(part7) | 08.55 | |||
Example 6,7 and 8 | 3-18 | ch3(part8) | 05.24 | |||
Example 9, 10 and 11 | 3-19 | ch3(part9) | 13.16 | |||
Example 12, 13 and 14 (circular seating, different words of ABBA) | 3-20 | ch3(part10) | 06.24 | |||
Section 3.3 | Combinations | Solution | Introduction to Combination examples 1 and 2 | 3-23 | ch3(part11) | 08.34 |
Example 3 and 4 | 3-26 | ch3(part12) | 13.18 | |||
Example 5, Card problems | 3-28 | ch3(part13) | 08.39 | |||
Example 6 and 7 | 3-30 | ch3(part14) | 06.45 | |||
Example 8, 9, 10, 11 and 16 (Shaking hands, ordered groups) | 3-32 | ch3(part15) | 08.35 |
* MP4 file you can download and save: right click, Save Target As or Save Link As
Solutions for Selected Problems in the Text Book :
Section 3.1: #9, 11, 19: Video
#21,25, 27, 29 Video
#31 Video
PDF for all above
Section 3.2: #7, 15, 17, 19, 21, 23, 25 PDF File
Section 3.3: #7, 11, 13, 15, 17, 21,23, 27 PDF File
Section 3.4: #15, 17, 21, 23, 25, 27,29 PDF File
Chapter 3 More Review
Problems:
Level 1: Extra Problems (with answers)
Level 2: General Problems (no answers) (Try, and at least show the work needed to see if you are in the right track, Answers)
Level 3: Challenging Problems (with mixed answers)
Chapter 3 Practice Test Problems: (the Extra Sample is actual exam I gave in class on paper, more challenging)
Practice Test Chapter 3 Answers
*** Quiz Problems *** (to check if you are ready, and should take less than 15 minutes, no open notes)