BMT 2021 General p22
Source:
September 27, 2023
combinatorics
Problem Statement
Austin is at the Lincoln Airport. He wants to take successive flights whose destinations are randomly chosen among Indianapolis, Jackson, Kansas City, Lincoln, and Milwaukee. The origin and destination of each flight may not be the same city, but Austin must arrive back at Lincoln on the last of his flights. Compute the probability that the cities Austin arrives at are all distinct.