Sets and Counting (Combinatorics)

Homework

These are short problems. They are fast to do, unlike our previous topics. You need to do a variety of problems of various kinds to get used to recognizing the types and be able to know what methods to use to solve them. Doing only a very few problems may not give sufficient practice or varied enough practice. If you get stuck on a problem, try but then move on and then go back to it later. Something you do later may help you understand something you were previously stuck on.

Section 7.1 

  • Set Operations: 1, 3, 4, 5, 6, 7, 9, 11
  • Venn Diagrams: 13, 14, 15, 16, 17, 18, 19

Section 7.2 

  • Multiplication Axiom: 6 through 10, 13 through 17

Section 7.3

  • Permutations: 1, 3 through 8, 11-19,  21,  22

Section 7.4

  • More Permutations: 1, 3, 5, 7, 9, 10, 11, 13, 15, 16

Section 7.5 

  • Combinations: 1 through 5, 7, 8, 9, 11, 12, 13, 14, 17, 19

Section 7.6

  • More Combinations: 1 through 6, 21, 22, 23, 25*, 27*, 29, 30, 31, 32
    *25, 27 set up the calculation.  The answers may be very large for some of the questions 25-28 so may be expressed in scientific notation when you evaluate them on your calculator.
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