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Order five balls


Best Answer plasmid, 28 November 2013 - 08:04 AM

Spoiler for theoretical minimum

Spoiler for achieving that minimum
Go to the full post


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9 replies to this topic

#1 bonanova

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Posted 24 November 2013 - 07:50 AM

Five balls, A, B, C, D and E weigh, in some order, 1, 2, 3, 4, and 5 pounds.

How many times must a balance scale be used to determine their weights?

 

Spoiler for Some clarification


Edited by bonanova, 24 November 2013 - 09:34 AM.
Re-label the spoiler as a clarification. No clues contined therein

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
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#2 TimeSpaceLightForce

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Posted 24 November 2013 - 09:10 AM

Spoiler for for starter


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#3 bonanova

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Posted 24 November 2013 - 09:27 AM

No restrictions. The cases you list are all permitted.

You may read the spoiler for clarification. It gives no clues.


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#4 wolfgang

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Posted 24 November 2013 - 10:57 AM

Spoiler for first trial...


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#5 bonanova

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Posted 24 November 2013 - 11:58 PM

Wolfgang, there are five balls. Do you include E here?
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#6 TimeSpaceLightForce

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Posted 25 November 2013 - 07:30 PM

Weigh any 2balls (1 vs 1)

weigh another 2balls

weigh 2 heavier balls 

weigh 2 lighter balls

Spoiler for


Edited by TimeSpaceLightForce, 25 November 2013 - 07:31 PM.

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#7 TimeSpaceLightForce

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Posted 25 November 2013 - 07:53 PM

Spoiler for


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#8 bonanova

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Posted 25 November 2013 - 08:49 PM

Spoiler for


You can do it in fewer.
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#9 plasmid

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Posted 28 November 2013 - 08:04 AM   Best Answer

Spoiler for theoretical minimum

Spoiler for achieving that minimum

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#10 bonanova

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Posted 28 November 2013 - 08:48 AM

Kudos! bona_gold_star.gif


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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell




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