Hunter'sDilemma
A person looks into the bag of a bird hunter. And tells the hunter:
There are all sparrows but six; there are all pigeons but six; and there are all ducks but six.
Now help the hunter and tell how many birds are there in the bag?
Try the 👉 Shepherd'sDilemma
The answer is 9.
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1 solution
Let d be the number of ducks, p be the number of pigeons, and s be the number of sparrows.
Assuming all the birds in the bag are one of these three types, we get the follow three relationships:
1) d + p = 6
2) d + s = 6
3) p + s = 6
If we add all three equations together, we get 2 d + 2 p + 2 s = 1 8 , i.e., d + p + s = 9 .
Alternatively, there are six quail in the bag and no ducks, pigeons, or sparrows at all.