Poker Hands A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of the specified type. Straight (five cards of consecutive denominations: A, 2, 3, 4, 5 up through 10, J, Q, K, A, not all of the same suit) (Note that the ace counts either as a 1 or as the denomination above king.) For those unfamiliar with playing cards, here is a short description. A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, jack (J), queen (Q), and king (K), and in one of four suits: hearts (♥), diamonds (+), clubs (+), and spades (). Thus, for instance, the jack of spades, Ja, refers to the denomination of jack in the suit of spades. The entire deck of cards is as shown below. 5♥6♥ AV 2♥ 3♥ 4♥ A♦ 24 34 4 7♥8♥ 7+ 5♦ 64 A♣ 2 3 4 5 6 7 A 24 34 44 54 64 74 84 hands K♥ 9♥ 10 JV Q♥ 8 9 10 J Q K♦ 8 9 10♣ J* Q♣ K♣ 10 J Q KA 94
Poker Hands A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of the specified type. Straight (five cards of consecutive denominations: A, 2, 3, 4, 5 up through 10, J, Q, K, A, not all of the same suit) (Note that the ace counts either as a 1 or as the denomination above king.) For those unfamiliar with playing cards, here is a short description. A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, jack (J), queen (Q), and king (K), and in one of four suits: hearts (♥), diamonds (+), clubs (+), and spades (). Thus, for instance, the jack of spades, Ja, refers to the denomination of jack in the suit of spades. The entire deck of cards is as shown below. 5♥6♥ AV 2♥ 3♥ 4♥ A♦ 24 34 4 7♥8♥ 7+ 5♦ 64 A♣ 2 3 4 5 6 7 A 24 34 44 54 64 74 84 hands K♥ 9♥ 10 JV Q♥ 8 9 10 J Q K♦ 8 9 10♣ J* Q♣ K♣ 10 J Q KA 94
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Poker Hands A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of the specified
type.
Straight (five cards of consecutive denominations: A, 2, 3, 4, 5 up through 10, J, Q, K, A, not all of the same suit) (Note that
the ace counts either as a 1 or as the denomination above king.)
For those unfamiliar with playing cards, here is a short description. A standard deck consists of 52 playing cards. Each card is in one of 13
denominations: ace (A), 2, 3, 4, 5, 6, 7, 8, 9, 10, jack (J), queen (Q), and king (K), and in one of four suits: hearts (♥), diamonds (+), clubs
(+), and spades (). Thus, for instance, the jack of spades, Ja, refers to the denomination of jack in the suit of spades. The entire deck of
cards is as shown below.
5♥6♥
AV 2♥ 3♥ 4♥
A♦ 24 34 4
7♥8♥
7+
5♦
64
A♣ 2 3
4
5
6
7
A
24 34 44 54 64 74 84
hands
K♥
9♥ 10 JV Q♥
8 9 10 J
Q
K♦
8 9
10♣
J*
Q♣
K♣
10 J Q KA
94
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