SOLUTION: How do you find the number of possible 5-card hands that contains 5 face cards?

Question 598288: How do you find the number of possible 5-card hands that contains 5 face cards?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The first card can be any one of 12 face cards. The second card, given that the first was a face, can be any one of 11 remaining face cards. And so on...

But that includes the number of ways that the 5 cards can be arranged, so you have to divide by

So the whole thing reduces to

Altogether less than 1000. Contrast this with the possible number of 5 card hands from a deck of 52: 2,598,960

John

My calculator said it, I believe it, that settles it

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