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February 26th, 2019, 04:25 PM   #1
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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).
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February 26th, 2019, 05:55 PM   #2
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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.
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February 26th, 2019, 06:18 PM   #3
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Thanks. awesome.
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