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A standard deck of playing cards contains 52 cards, which are divided into four suits: hearts, diamonds, clubs, and spades. Each suit has 13 ranks, ranging from Ace to King. Additionally, many decks include two jokers, bringing the total to 54 if they are included.

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1w ago

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The number of different 5-card hands that can be dealt from a standard deck of 52 cards is calculated using the combination formula, which is given by ( C(n, r) = \frac{n!}{r!(n-r)!} ). For 5 cards from 52, this is ( C(52, 5) = \frac{52!}{5!(52-5)!} ), which simplifies to 2,598,960 distinct hands.


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In a standard deck of 52 playing cards, the number of combinations of 3 cards can be calculated using the combination formula ( C(n, r) = \frac{n!}{r!(n-r)!} ). For 3 cards from 52, it is ( C(52, 3) = \frac{52!}{3!(52-3)!} = \frac{52 \times 51 \times 50}{3 \times 2 \times 1} = 22,100 ). Thus, there are 22,100 different combinations of 3 cards in a deck.


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