11.20.09

The Switching Places Problem – part II

 

For the next time we meet (December 4th), prepare a report that answers the following questions.  You can use diagrams and tables to supplement what you say in words.  It does not have to be any length in particular, as long as you answer the questions thoroughly.

1.  What is the relationship between the number of slides and the number of jumps?  What patterns do you notice?  How are these patterns related to the actual situation?

2.  For any number of pairs of people, how many slides are there?

3.  For any number of pairs of people, how many jumps are there?

* Bonus: How many consecutive slides or jumps are there?  Why?

** Bonus: What patterns do you notice in who moves when? (the A/B pattern)