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 February 26th, 2019, 05:25 PM #1 Senior Member   Joined: Apr 2017 From: New York Posts: 165 Thanks: 6 52-card 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 3-card hands are form a 52-card 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, 06:55 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,633 Thanks: 1472 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 07:00 PM.
 February 26th, 2019, 07:18 PM #3 Senior Member   Joined: Apr 2017 From: New York Posts: 165 Thanks: 6 Thanks. awesome.

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