A few days ago
How many 5 card hands would have only hearts?
How many 5 card hands would have only hearts?
Top 2 Answers
A few days ago
Favorite Answer
1287
There are thirteen hearts. Order doesn’t matter — so you need to know how many combinations of five cards you can choose from 13. The binomial coefficient gives you the answer:
Combin(13,5) = 13!/[(5!)*(13-5)!) = 1287
You can use the COMBIN function in Excel to get this.
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A few days ago
Assuming a standard 52 card deck, there are 13!/(5!*(13-5)!) = 1287 sets of 5 hearts. It is not simply 13*12*11*10*9 because the order of the cards in the hand is irrelevant.
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