1. The document discusses Prof. Irish's wardrobe options and uses a tree diagram to calculate the number of possible combinations of clothing he can wear before needing to repeat an outfit. 2. It is determined that with 4 pants, 3 shirts, 2 vests, and 4 ties, Prof. Irish has 96 possible outfits before repeating, allowing him to dress differently every day of the semester. 3. The document asks how many combinations would be possible if Prof. Irish had a second pair of shoes and provides examples of calculating combinations for other clothing quantities.