Part 4 - Sets and Counting

Videos for Section 4.1 WebAssignments

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Introduction to sets (13:34)   

Videos for Section 4.2 WebAssignments
Set operations and Venn diagrams (17:49)    

Videos for Section 4.3 WebAssignments
Venn diagrams and data (15:50)    
Venn Diagram Example (6:36)  

Videos for Section 4.4-4.5 WebAssignments
Multiplication principle and tree diagrams (19:10)    
Permutations and Combinations (29:29)    
Counting ways to pick a committee (4:34)  
Example of Venn Diagram for organizing data (6:35) 
Counting patterns (4:56)   
Some review problems (17:43)    
More review problems (14:50)    
House Inspections (11:28) 
Wrong Solutions (14:58) 

Additional Resources: At Khan Academy, counting techniques (Part 4 of this course) and probability applications (Part 5 of this course) are all mixed up together. The only counting videos that don't include probability concepts seem to be one on permutations and one on combinations. However, a large number of illustrations of counting techniques appear in the Khan Academy videos mentioned in Part 5 below. So you'll get some good review of counting techniques if you consult those videos when you get to Part 5. [Note: The Khan Academy videos and most mathematical texts use a different notation for combinations and permutations from what you find in our own videos. What we denote by C(5,3), i.e. the number of combinations in which 3 objects can be chosen from 5 objects, is denoted in most texts by 5C3, and similarly P(5,3) is written generally as 5P3.]