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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

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

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

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

### #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!

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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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