The Fox, Rabbit, and Carrots
A farmer is trying to cross a river. He is taking with him a rabbit, carrots and a fox, and he has a small raft. He can only bring 1 item a time across the river because his raft can only fit either the rabbit, the carrots or the fox. How does he cross the river. (You can assume that the fox does not eat the rabbit if the man is present, you can also assume that the fox and the rabbit are not trying to escape and run away)
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This problem design creates a unique kind of problem. It merges critical thinking with unique problem solving. This is one of my favorite problems because moving the rabbit first is common. The next step can be achieved by thinking of the animals and carrots as binary numbers.