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capstinence
Joined: 12 May 2005
Posts: 44
Location: Los Angeles, CA
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 Posted: Sun May 22, 2005 8:57 pm Post subject: War, What It Isn't Good For |
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A group of 100 soldiers suffered the following injuries in a battle: 70 soldiers lost an eye, 75 lost an ear, 85 lost a leg, and 80 lost an arm.
What is the minimum number of soldiers who must have lost all 4? |
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Michael Chu
Joined: 10 May 2005
Posts: 1654
Location: Austin, TX (USA)
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| Posted: Mon May 23, 2005 12:19 am Post subject: |
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10?
I took 100 - 70 = 30 soldiers didn't lose eyes. So, 75 - (100 -70) = 45 soldiers at minimum lost both eyes and ears. So, 45 - (100 - 85) = 30 soldiers at minimum lost eyes, ears, and a leg. Then, 30 - (100 - 80) = 10 soldiers at minimum lost all four. |
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capstinence
Joined: 12 May 2005
Posts: 44
Location: Los Angeles, CA
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| Posted: Mon May 23, 2005 2:17 am Post subject: |
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| Yes. |
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tony123
Joined: 09 Apr 2010
Posts: 1
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| Posted: Fri Apr 09, 2010 11:52 am Post subject: |
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| Very difficult question a man who answering this must know the probability theory in order to answer |
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akashtab
Joined: 15 Feb 2012
Posts: 6
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| Posted: Thu Mar 08, 2012 10:34 am Post subject: |
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| Michael Chu wrote: | 10?
I took 100 - 70 = 30 soldiers didn't lose eyes. So, 75 - (100 -70) = 45 soldiers at minimum lost both eyes and ears. So, 45 - (100 - 85) = 30 soldiers at minimum lost eyes, ears, and a leg. Then, 30 - (100 - 80) = 10 soldiers at minimum lost all four. |
Great Michal, was stuck on this for about half and hour, thanks for your detailed answer. |
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LaylaBlank
Joined: 14 May 2012
Posts: 1
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| Posted: Mon May 14, 2012 9:32 am Post subject: |
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| Wowww that is a hard questions, I couldn't work it out! Kudos to those who did! |
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