How many 5 card hands would have only hearts?

Top 2 Answers

A few days ago

Ranto

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.

A few days ago

BNP

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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How many 5 card hands would have only hearts?

How many 5 card hands would have only hearts?

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