A standard 52-card deck contains four aces, twelve face cards, thirteen hearts (all red), thirteen diamonds (all red), thirteen spades (all black), and thirteen clubs (all black). Of the 2,598,960 different five-card hands possible, decide how many would consist of the following. (a) all hearts (b) all red cards (c) all aces (a) There are (Simplify your answer.) ways to have a hand with all hearts.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section: Chapter Questions
Problem 41RE: How many distinct ways can the word DEADWOOD be arranged?
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A standard 52-card deck contains four aces, twelve face cards, thirteen hearts (all red), thirteen diamonds (all red), thirteen spades (all black), and thirteen clubs (all black). Of the 2,598,960
different five-card hands possible, decide how many would consist of the following.
(a) all hearts
(b) all red cards
(c) all aces
(a) There are
(Simplify your answer.)
ways to have a hand with all hearts.
Transcribed Image Text:A standard 52-card deck contains four aces, twelve face cards, thirteen hearts (all red), thirteen diamonds (all red), thirteen spades (all black), and thirteen clubs (all black). Of the 2,598,960 different five-card hands possible, decide how many would consist of the following. (a) all hearts (b) all red cards (c) all aces (a) There are (Simplify your answer.) ways to have a hand with all hearts.
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