Module 8: Permutations, Combinations, and the Binomial Theorem

 

Some permutation problems involve more than one case. When more than one case is involved, you must calculate the number of permutations in each case and add those numbers together. Here is an example involving cases.



textbook

Read “Example 5: Using Cases to Determine Permutations” on page 523 of the textbook. Notice that you add the number of permutations for each case.

 

View Permutations by the Case to see a full explanation of Example 5.

 

 
This play button opens Permutations by the Case.

 

Self-Check 3
  1. Complete question 9 of “Check Your Understanding” from page 525 of the textbook. Answer
  2. Six people are going on a bus trip. They can use 2 buses, one for 12 passengers, and the other for 15 passengers. In how many ways may the people be arranged on one bus? Answer
Share 3

 

With a partner or in a group, discuss how the answer to Self-Check 3 would change if the passengers could use both buses and the 6 people could choose either bus.

 

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