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In Five Card Stud, a flush consists of five cards of the same suit. To calculate the number of ways to achieve a flush, you first choose one suit from the four available suits, which can be done in 4 ways. Then, you select 5 cards from the 13 available in that suit, which can be done in ( \binom{13}{5} = 1,287 ) ways. Therefore, the total number of ways to get a flush in Five Card Stud is ( 4 \times 1,287 = 5,148 ).

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