Question 1. Find the mistake in the following proof by induction. Claim: Every nonnegative integer is even. Proof: Let P(n) be the statement that "n is even". We will use strong induction to prove that P(n) is true for all nonnegative integers n. The base case is n = 0, which is clearly an even number. Thus P(0) is true. Assume that P(n) has been proven for all integers 0 n