(5 pts) Q3. Suppose you obtain a mystery bag of marbles. What you do know about this mystery bag is that each marble within is one of exactly 5 different colours: green, black, yellow, red and blue. You also know that the bag contains 504 marbles. What you do not know is how many marbles of each colour is within. For this question, you will prove, without looking in the mystery bag, that the following statement is true Theorem 2. The mystery bag contains at least 101 marbles of one of the five colours. Give a proof by contradiction of Theorem 2 For the first step, write the negation of Theorem 2 in the box below: Now, assume the negation of Theorem 2 is true, and show that this assumption leads to a contradiction