1. The problem statement, all variables and given/known data Given two sets of Cartesian product S=A1×A2...×An P=(A1×A2...×An-1)×An show that there exists bijection between the two sets. 2. Relevant equations ∀a1,a2:a1∈A1, a2∈A2: A1×A2=(a1,a2) 3. The attempt at a solution let f be a function that maps f: P → A1×A2...×An-1 where f((A1×A2...×An-1))∈A1×A2...×An-1 and f(An)∈An is this correct?