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victoria1 victoria1
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7 years ago
2.   A man must ferry a wolf, a goat, and a head of cabbage across a river. The available boat, however, can carry only the man and one other thing. The goat cannot be left alone with the cabbage, nor the wolf with the goat. How should the man ferry his three items across the river?
Post Merge: 7 years ago

Find the length of the chord that cuts off an arc of length   d
in Exercise 4. 5 1/2 in a circle of diameter 33.
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Educator
7 years ago
The man should ferry the goat across the river, then return alone.  He should then take either the cabbage or the wolf across the river, and ferry the goat back to the original side.  Leaving the goat, he should take the remaining wolf or cabbage across, then return empty to ferry the goat across:
            wolf, cabbage ------> goat
            wolf, cabbage Leftwards Arrow------ goat
            cabbage ------------> wolf, goat
            cabbage, goat Leftwards Arrow---------- wolf
            goat -------------> wolf, cabbage
            goat Leftwards Arrow------------ wolf, cabbage
            nothing -----------> wolf, cabbage, goat
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