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  #1  
Old 01-04-2019, 03:35 PM
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How many combinations of 5 cards could be made from this group of 12?
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  #2  
Old 01-04-2019, 05:53 PM
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Quote:
Originally Posted by Peter_Spaeth View Post
How many combinations of 5 cards could be made from this group of 12?
I believe it's 792 combos. Statistically, 12 choose 5, which would be 12!/[(5!)(7!)].
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  #3  
Old 01-04-2019, 06:28 PM
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Quote:
Originally Posted by Mike (18colt) View Post
I believe it's 792 combos. Statistically, 12 choose 5, which would be 12!/[(5!)(7!)].
Indeed. Dividing by 7! accounts for only choosing 5 items of the 12, and dividing by 5! accounts for the fact that within the group of 5 sequence doesn't matter.
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Four phrases I have coined that sum up today's hobby:
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Stuff trumps all.
The flip is the commoodity.
Animal Farm grading.
Last edited by Peter_Spaeth; 01-04-2019 at 06:37 PM.
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  #4  
Old 01-05-2019, 01:24 PM
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Quote:
Originally Posted by Peter_Spaeth View Post
How many combinations of 5 cards could be made from this group of 12?
Quote:
Originally Posted by Mike (18colt) View Post
I believe it's 792 combos. Statistically, 12 choose 5, which would be 12!/[(5!)(7!)].
Quote:
Originally Posted by Peter_Spaeth View Post
Indeed. Dividing by 7! accounts for only choosing 5 items of the 12, and dividing by 5! accounts for the fact that within the group of 5 sequence doesn't matter.
I appreciate the responses so much, having majored in Mathemagic, that I will pose another question.

How many combinations of the 12 cards shown can be made to form a Baker's Dozen?

Answer correctly and you can purchase all 12, or is it 13, for $40 shipped.

Please answer only if you intend to purchase.
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Last edited by frankbmd; 01-05-2019 at 01:27 PM.
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  #5  
Old 01-05-2019, 04:29 PM
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I’m gonna go with this answer. It depends on whether you are seeking combinations or permutations.

Permutations = 13! (13 - 12)! = 6,227,020,800
Combinations = 13! 12! × (13 - 12)! = 13

Best
SGL
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  #6  
Old 01-05-2019, 05:03 PM
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Originally Posted by scottglevy View Post
I’m gonna go with this answer. It depends on whether you are seeking combinations or permutations.

Permutations = 13! (13 - 12)! = 6,227,020,800
Combinations = 13! 12! × (13 - 12)! = 13

Best
SGL
Not quite right.
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  #7  
Old 01-05-2019, 05:09 PM
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If I were to answer I would answer 0.
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Stuff trumps all.
The flip is the commoodity.
Animal Farm grading.
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