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## #1 2005-09-25 19:36:58

kweyers59@aol.com
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Registered: 2005-09-25
Posts: 2

### combinatorics in playing cards - 52 caard standard deck

Help... a problem in combinatorics..

stadndard 52 card deck - 5 cards being dealt.. what is the probability to have at least 3 non-paired cards under 9??

Santa in Florida, USA  kweyers59@aol.com

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## #2 2005-10-04 10:00:54

John E. Franklin
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Registered: 2005-08-29
Posts: 3,588

### Re: combinatorics in playing cards - 52 caard standard deck

So can the 3, 4 or 5 non-paired cards be from Ace to 8 or from Ace to 9 or from 2 to 8 or from 2 to 9?

igloo myrtilles fourmis

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## #3 2005-10-04 10:48:41

Klaus
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### Re: combinatorics in playing cards - 52 caard standard deck

we are interested in at least three unpaired cards from Ace to 8.. smile...

thanks for looking at this..

Klaus

## #4 2005-10-04 23:08:43

ganesh
Registered: 2005-06-28
Posts: 24,638

### Re: combinatorics in playing cards - 52 caard standard deck

I think the required probability is

(32 x 28 x 24)/(52 x 51 x 50) assuming the raminaing two cards can be either paired or unpaired, greater or lesser than nine.

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