Keep your answer short and show work 9. Recall that a deck of cards has fifty-two cards: four suits (Hearts, Diamonds, Spades, andClubs) each with thirteen denominations (Ace, King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, 2).Hearts:Diamonds:Spades:Clubs:7 6 5 4 3 26 5 4 3 2A K QJ 104 94 86 74 64 54 46 36 26A♣ K♣ Q4 J4 104 94 84 74 64 54 44 34 24(a) How many different orderings are there of the entire deck of cards?AV KV Q♥ J♥ 10 9 8A K QJ 10 9 8 7(b) In how many ways are there to have an (unordered) hand of seven cards,exactly four of which are hearts?(c) How many five-card hands have at least one King and at least one Spade?[Hint: Draw a Venn Diagram.]

(9) (a) There are 52 cards and all of them are different. So total number of different orderings is:…

14 36 26 Clubs: A4 K4 Q4 J4 104 04 84 74 64 54 14 34 23 (a) How many different orderings are there of the entire deck of cards? (b) In how many ways are there to have an (unordered) hand of seven cards, exactly four of which are hearts? (c) How many five-card hands have at least one King and at least one Spade? [Hint: Draw a Venn Diagram.]

14 36 26 Clubs: A4 K4 Q4 J4 104 04 84 74 64 54 14 34 23 (a) How many different orderings are there of the entire deck of cards? (b) In how many ways are there to have an (unordered) hand of seven cards, exactly four of which are hearts? (c) How many five-card hands have at least one King and at least one Spade? [Hint: Draw a Venn Diagram.]

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 9ECP: In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different...

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