SOLUTION: A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of straight (five cards of consecutive denominations: A, 2, 3, 4, 5 up thro

Question 241523: A poker hand consists of five cards from a standard deck of 52. Find the number of different poker hands of straight (five cards of consecutive denominations: A, 2, 3, 4, 5 up through 10, J, Q, K, A, not all of the same suit). (Note that the Ace counts either as a 1 or as the denomination above King.)

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A poker hand consists of five cards from a standard deck of 52.
Find the number of different poker hands of straight (five cards of consecutive denominations: A, 2, 3, 4, 5 up through 10, J, Q, K, A, not all of the same suit). (Note that the Ace counts either as a 1 or as the denomination above
King.
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Pick a lowest starting card type: 10 ways
Pick that lowest card and each of the next 4: 4^5 = 1024 ways
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Total number of straights: 10*1024= 10,240
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Cheers,
stan H.
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