Lilly is asking for help with problems related to her upcoming high school graduation. She provides details about a survey conducted among previous graduating classes on having a theme for graduation dinner and dance. Using the survey results and statistical formulas, Lilly calculates there is a 84-60% chance this year's class of 150 students will want a theme. Lilly also provides details about ticket sales for the graduation dinner and dance and compares potential profits under two scenarios. Finally, Lilly asks how many seating arrangements are possible for her and her friends at a table for 8 people out of a group of 16 students.