The number of different 5-card hands that can be dealt from a standard deck of 52 cards can be calculated using combinations. This is given by the formula ( \binom{n}{r} ), where ( n ) is the total number of cards (52) and ( r ) is the number of cards to choose (5). Therefore, the number of different 5-card hands is ( \binom{52}{5} = \frac{52!}{5!(52-5)!} = 2,598,960 ).
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