How many five-card hands chosen from a standard deck contain two hearts and three spades?

Hint: In a standard deck of cards, diamonds and hearts are different suits. In this situation, they are different categories of cards. There are 13 cards in each suit. (If necessary, type the number with no commas or spaces. For example: 258963)

Question

2 May, 23:31

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Stella Valencia · Answer 1

c (13,2) = 13! / (2! (13-2) !) = 78

c (13,3) = 13! / (3! (13-3) !) = 286

286 x 78 = 22308