Quiz3Spring07 - from the set of four aces and a 3-card...

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Math 213, Section B1, Quiz 3 (Solutions); Friday, February 9, 2007 1. For a standard 52-card deck find the number of all 4-card hands that contain exactly one ace. Give the details of your work. Solution. There are 4 aces and 48 non-ace cards in a 52-card deck. Choosing a 4-card hand with exactly one ace consists in picking a one-card subset
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Unformatted text preview: from the set of four aces and a 3-card subset from the set of the 48 non-aces. Therefore by the product rule the number of 4-card hands with exactly one ace is: C (4 , 1) C (48 , 3) = 4 · 48 · 47 · 46 1 · 2 · 3 = 69184 . 1...
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