MathDB

Alice, Bob, Cassie, Dave, and Ethan are going on a road trip and need to arrange themselves among a drivers seat, a passenger seat, and three distinguishable back row seats. Alice, Bob, and Cassie are not allowed to drive. Alice and Bob are also not allowed to sit in the front passenger seat. Find the number of possible seating arrangements.
2022 CCA Math Bonanza Individual Round #2

Problem Statement