poker king
Saturday, September 10th, 2011
Math problem dealing with poker. I have no clue how to figure out this math problem. Can anyone help?
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.)
How do I solve this problem? Right now we are dealing with premutations and combinations but i’ve tried doing this problem and i get 311875200 and its wrong. Can anyone help?
the cards you will hold in order will be
one of
from A,2,3,4,5 to 10,J,Q,K,A
there are 10 ways of doing that
then each card can be one of 4 suits, making 4^5 different straights for each number combination, but in each case, 4 of these are straight flushes
so I make it
10 x (4^5 – 4) = 10200
Poker King – part 1 of 16
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