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- 1. Let x be the number of red balls among 3 balls randomly selected from a bag containing 9 black ball and 6 red P(x=0) P(x=1)The following problem is that of discrete mathematics. Determine whether the statement is true or false. Justify your answer with a proof or a counterexample, as appropriate. The difference of any two odd integers is even.This is a discrete math problem: Define min (x, y) = x if x ≤ y and y if x > y. Use proof by case to show that min(a, min(b, c)) = min(min(a, b), c) where a, b, and c are integers.