Reply Sat 6 Sep, 2008 07:13 am
In a contest four fruits have been placed in four closed boxes one fruit for a box. People may guess which fruit is in which box, 123 people participated in the contest. When the boxes are opened / it turns out that 43 people have guessed none of the fruits correctoly, 39 people have guessed one fruit correctly, and 31 people have guessed two fruits correctoly. How many people have gussed three fruits correctly?
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Type: Question • Score: 0 • Views: 2,497 • Replies: 5
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Robert Gentel
 
  1  
Reply Sun 14 Sep, 2008 02:57 am
@sravanthi,
If there are 4 fruits and you guess 3 of them correctly then you will have guessed the remaining fruit correctly as well.

So 0.
whaywoodracman
 
  1  
Reply Thu 1 Apr, 2010 11:54 am
@Robert Gentel,
But you could look at it the other way saying that if you guessed all 4 correctly then you have me the required 3 fruits so all the rest of the poeple will have guessed 3 correctly, it's like the "how many months of the year have 28 days?" they all do, just some have more than 28. So the answer could be 10
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JazzMinnie
 
  1  
Reply Thu 14 Oct, 2010 06:10 am
@sravanthi,
Nobody. Cause if they guess 3 they automatically guessed the 4th one so.... nobody.
JazzMinnie
 
  1  
Reply Thu 14 Oct, 2010 06:11 am
@JazzMinnie,
Or maybe 31?
0 Replies
 
uvosky
 
  1  
Reply Wed 23 May, 2012 03:16 am
@sravanthi,
This is a problem of " inclusion-exclusion principle " . Robert Gentel was right in realizing that if one has guessed 3 fruits correctly then that person
has also guessed 4 fruits correctly ; tough Gentel ' s answer was wrong .
If y number of people have guessed 3 fruits correctly then ,
123 = 43 + 39 - 31 + 4y - y i.e. 3y = 72 i.e. y = 24 is the answer .
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