Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 6 - Section 6.4 - Permutations and Combinations - Exercises - Page 438: 58

Answer

624

Work Step by Step

There are 13 denominations (2,3,4...9,10,J,Q,K,A), and there are 4 of each. First, choose the denomination for the four of a kind: $13$ choices Second, choose the fifth card of another denomination: $52-4=48$ choices This gives a total of $13*48=624$ such poker hands
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