Consider drawing a 5-card hand from a standard 52-card deck (note that there are four suits: spades, clubs, diamonds, hearts and 13 cards of each suit: numbers 2 through 10, jack, queen, king, and ace. Jack, queen, and king are considered face cards). (a) How many hands are there? (b) How many hands contain all diamonds? (c) How many hands contain cards from all four suits? (d) How many hands consist of all face cards?
Consider drawing a 5-card hand from a standard 52-card deck (note that there are four suits: spades, clubs, diamonds, hearts and 13 cards of each suit: numbers 2 through 10, jack, queen, king, and ace. Jack, queen, and king are considered face cards). (a) How many hands are there? (b) How many hands contain all diamonds? (c) How many hands contain cards from all four suits? (d) How many hands consist of all face cards?
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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Consider drawing a 5-card hand from a standard 52-card deck (note that there are four suits: spades,
clubs, diamonds, hearts and 13 cards of each suit: numbers 2 through 10, jack, queen, king, and ace.
Jack, queen, and king are considered face cards).
(a) How many hands are there?
(b) How many hands contain all diamonds?
(c) How many hands contain cards from all four suits?
(d) How many hands consist of all face cards?
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