A standard deck of cards fifty-two cards has thirteen ranks R = {A, 2, 3, 4, 5, 6, 7, 8, 9, J, Q, K} and four suits S = {♡, 0, 4, 4}. In MAT 133, we play cards with an extended deck. We have an additional suit of cards: the smile suit ©; and an additional rank: the Professor. For example, the “professor of smiles" card is P©. Question 1 Write the following sets: 1. S' the suits of the MAT 133 deck 2. R' the ranks of the MAT 133 deck 3. Which cards are in the MAT 133 that are not in the standard deck? (a) Write your answer as a set using R, S, R', S' and the set operations: × \ U { }. (b) List the elements which are in the MAT 133 deck, but not the standard deck. 4. How many cards are there in the MAT 133 deck which are not in the standard deck?

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