Please provide a detail explanation A standard deck of cards fifty-two cards has thirteen ranks RS = {♡, 0, 4, A}. In MAT 133, we play cards with an extended deck. We have an additional suit of cards: the smilesuit ©; and an additional rank: the Professor. For example, the "professor of smiles" card is P©.{A, 2, 3, 4, 5, 6, 7,8, 9, J, Q, K} and four suitsQuestion 1 Write the following sets:1. S' the suits of the MAT 133 deck2. R' the ranks of the MAT 133 deck3. 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?Question 2 Consider five-card hands drawn from the MAT 133 deck.1. How many hands contain at least one Professor? For example, {34,5©, PO, K♡,74} is such a hand.2. A full housebe formed using the MAT133 deck?a five-cardnd with a three-of-a-kind and a pair of different ranks. How many full houses canQuestion 3 A fuller house is a six-card hand with a three-of-a-kind, a pair, and a singleton card of different ranks.How many fuller houses can be formed using the MAT133 deck if none of the ranks can be consecutive?For example, {4♡,{5♡, 54, 50, PO, PO,-Assume the ranks, in increasing order, are A, 2, 3, 4, 5, 6, 7, 8, 9, T, J, Q, K, P, and that P and A are considered40, P©, P♡, 20} is valid. Examples of invalid hands are {J4, J©, JV, QO,3}, аnd {P®, PО, PA, 20, 20, А#}.7♡},consecutive ranks.

Name: Please provide a detail explanation A standard deck of cards fifty-two
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please provide a detail explanation A standard deck of cards fifty-two cards has thirteen ranks RS = {♡, 0, 4, A}. In MAT 133, we play cards with an extended deck. We have an additional suit of cards: the smilesuit ©; and an additional rank: the Prof

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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?