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War, What It Isn't Good For

 
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capstinence



Joined: 12 May 2005
Posts: 44
Location: Los Angeles, CA

PostPosted: Sun May 22, 2005 8:57 pm    Post subject: War, What It Isn't Good For Reply with quote

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: 1618
Location: Austin, TX (USA)

PostPosted: Mon May 23, 2005 12:19 am    Post subject: Reply with quote

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

PostPosted: Mon May 23, 2005 2:17 am    Post subject: Reply with quote

Yes.
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tony123



Joined: 09 Apr 2010
Posts: 1

PostPosted: Fri Apr 09, 2010 11:52 am    Post subject: Reply with quote

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

PostPosted: Thu Mar 08, 2012 10:34 am    Post subject: Reply with quote

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

PostPosted: Mon May 14, 2012 9:32 am    Post subject: Reply with quote

Wowww that is a hard questions, I couldn't work it out! Kudos to those who did!
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