Final answer:
The recency requirement for carrying passengers in a tailwheel airplane is that a pilot must complete three takeoffs and landings to a full stop within the past 90 days.
Step-by-step explanation:
The recency requirement for carrying passengers in a tailwheel airplane stipulates that a pilot must have completed three takeoffs and landings to a full stop within the past 90 days. Therefore, the correct answer to the question is option 1) Three takeoffs and landings within the past 90 days. It's important for pilots to maintain these recency requirements to ensure safety and compliance with aviation regulations.