Problem
You are attending a ski trip with the local ski club. There will be 30 people attending the trip. On the bus ride to the ski resort, the group engages in a conversation about the number of different ways 30 people can sit in a 4-person chair lift. There is much discussion and disagreement about how to count the number of ways. You step in and quickly announce that you how to calculate the number of ways. Note: This is an example of combinations (order does not matter), and repetition is not allowed.
A. How will you calculate the number of ways?
B. Why does the order not matter in this ski trip scenario? Explain as if telling a friend that is not familiar with counting combinations.
C. Why is this an example where repetition is not allowed? Explain as if telling a friend that is not familiar with counting combinations.