signment # $2($over section

Question $17,1\mathrm{.}3\mathrm{.}68$

HW Score: $77\mathrm{.}78\%,14$ of $18$ points

Points: $0$ of $1$

A farmer needs to take his goat, wolf, and cabbage across a stream. His boat can hold him and one other passenger $($the wolf, goat, or cabbage$).$ If he takes the wolf with him, the goat will eat the cabbage. If he takes the cabbage, the wolf will eat the goat. Only when the farmer is present are the cabbage and goat safe from their respective predators. How does the farmer get everything across the stream?

Call the side of the stream where the farmer, the goat, the wolf, and the cabbage are initially the near side and call the other side the far side. First, the farmer should take $$ to the far side and return to the near side with $$ Next, the farmer should take to the far side and return to the near side with $$ Then the farmer should take $$ to the far side and return to the near side with $$ Finally, the farmer should take $$ to the far side of the stream. The farmer has successfully taken the goat, the wolf, and the cabbage across the stream.