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How Many 13 Card Hands Are There? [Solved]

There are 40 possibilities for the thirteenth card (because it can be anything except the ♦7, ♠K, ♣4, or any of the nine other cards already dealt). That means that the number of possible hands is 52×51×50×···×42×41×40 = 3954242643911239680000.

14-5 Combinations The 13 Card Hand Problem - understanding “exactly”

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How many ways can you arrange a deck of cards? - Yannay Khaikin

One deck. Fifty-two

Mathematics of Poker Hands - How many poker hands? What are the probabilities of each poker hand

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