I need help with this problem please.

qIa WI: The following is an incorrect proof of For every rratura.i number n a 1, in every group of n cars, at! the cars are from the same state Proof by induction: o Base case: In a group of 1 car, every car (i.e., that one car) is from the same state o Induction step: Let n be an arbitrary natural number and suppose that in every group of n cars, all the cars are from the same state o Consider a group of n+1 cars. By the induction hypothesis, cars 1 through n are from the same state and cars 2 through n+1 are from the same state o Thus cars 1 through n+1 are from the same state This induction proof is obviously incorrect. What's wrong with it? Q We didn't verify the base n = 1 case 0 We need to suppose that this is true for every group of n+1 people and prove that it's true for every group of n people 0 The statement should be that all cars must be from different states 0 The proof of the induction step (n to n+1) is not valid when n = 1