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February 26th, 2019, 04:25 PM  #1 
Senior Member Joined: Apr 2017 From: New York Posts: 155 Thanks: 6  52card deck
Hello everyone, I am working in this question long time and could not get the number I suppose to find. Has anybody got an idea, please? The answer is 768. and the question is: How many 3card hands are form a 52card deck, which form a straight ( like 2,3,4 in possibly mixed suits. Note that Ace, 2, 3 and Queen, King, Ace are both straights). 
February 26th, 2019, 05:55 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,550 Thanks: 1401 
There are 12 sequences, $A23, 234, \dots, JQK, QKA$ that make a straight. Each card can take 1 of 4 suits. $12\cdot 4^3 = 768$ Last edited by romsek; February 26th, 2019 at 06:00 PM. 
February 26th, 2019, 06:18 PM  #3 
Senior Member Joined: Apr 2017 From: New York Posts: 155 Thanks: 6 
Thanks. awesome.


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