1.28.11
Use a graphic model (like the tree-branching) and/or other techniques to answer these problems:
1. How many different 2-person committees can you form in a class of 5 people? How is this answer different from 5P2?
2. How many different 3-person committees can you form in a class of 5 people? How is this answer different from 5P3?
3. How many different 4-person committees can you form in a class of 5 people? How is this answer different from 5P4?
4. How many arrangements get eliminated when order doesn’t matter? What pattern do you notice? Can you predict how many would be eliminated in any situation?