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A poker hand consists of five cards from a standard deck of 52. (See the chart preceding Example 8.) Find the number of different poker hands of the specified type. HINT [See Example 8.] Two of a kind (two of one denomination and three of different denominations) hands

A poker hand consists of five cards from a standard deck of 52. (See the chart preceding Example 8.) Find the number of different poker hands of the specified type. HINT [See Example 8.] Two of a kind (two of one denomination and three of different denominations) hands

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Finite Math - Permutations & Combinations 

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The last example concerns poker hands. 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 thus A♥ 2 3 4 5 6 7 8 9 A+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ A+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ A 2 3 4 5 6 7 8 9 10v Jv Q♥ K♥ 10+ J Q+ K+ 10+J♣ Q♣ K♣ 10* J* Q K
Transcribed Image Text:The last example concerns poker hands. 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 thus A♥ 2 3 4 5 6 7 8 9 A+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ A+ 2+ 3+ 4+ 5+ 6+ 7+ 8+ 9+ A 2 3 4 5 6 7 8 9 10v Jv Q♥ K♥ 10+ J Q+ K+ 10+J♣ Q♣ K♣ 10* J* Q K
A poker hand consists of five cards from a standard deck of 52. (See the chart preceding Example 8.) Find the number of different poker hands of the specified type. HINT [See Example 8.] Two of a kind (two of one denomination and three of different denominations) hands
Transcribed Image Text:A poker hand consists of five cards from a standard deck of 52. (See the chart preceding Example 8.) Find the number of different poker hands of the specified type. HINT [See Example 8.] Two of a kind (two of one denomination and three of different denominations) hands
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