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7) There is an island on which all the people are of one of two types: either vegetarians or cannibals. Initially, two vegetarians and two cannibals are on the left bank of a river. With them is a boat that can hold a maximum of two people (two vegetarians, two cannibals, or one of each). You need to find a way to transport all the vegetarians and cannibals to the right bank of the river. At no time can the number of cannibals on either bank outnumber the number of vegetarians! Otherwise, disaster befalls the vegetarians. Create a graph to solve this problem. Question: How many possible solutions are there? Consider each solution to be a description of how the four people get across the river. If you create a graph to solve this, you should be able to look at the possible moves and determine how many ways there are to move everybody across.

7) There is an island on which all the people are of one of two types: either vegetarians or cannibals. Initially, two vegetarians and two cannibals are on the left bank of a river. With them is a boat that can hold a maximum of two people (two vegetarians, two cannibals, or one of each). You need to find a way to transport all the vegetarians and cannibals to the right bank of the river. At no time can the number of cannibals on either bank outnumber the number of vegetarians! Otherwise, disaster befalls the vegetarians. Create a graph to solve this problem. Question: How many possible solutions are there? Consider each solution to be a description of how the four people get across the river. If you create a graph to solve this, you should be able to look at the possible moves and determine how many ways there are to move everybody across.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter10: Matrices
Section10.1: Solution Of Linear Systems
Problem 46E
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7) There is an island on which all the people are of one of two types: either vegetarians or cannibals. Initially, two vegetarians and two cannibals are on the left bank of a river. With them is a boat that can hold a maximum of two people (two vegetarians, two cannibals, or one of each). You need to find a way to transport all the vegetarians and cannibals to the right bank of the river. At no time can the number of cannibals on either bank outnumber the number of vegetarians! Otherwise, disaster befalls the vegetarians. Create a graph to solve this problem. Question: How many possible solutions are there? Consider each solution to be a description of how the four people get across the river. If you create a graph to solve this, you should be able to look at the possible moves and determine how many ways there are to move everybody across. O 5 O 2 O 3 O 1 O Something else
Transcribed Image Text:7) There is an island on which all the people are of one of two types: either vegetarians or cannibals. Initially, two vegetarians and two cannibals are on the left bank of a river. With them is a boat that can hold a maximum of two people (two vegetarians, two cannibals, or one of each). You need to find a way to transport all the vegetarians and cannibals to the right bank of the river. At no time can the number of cannibals on either bank outnumber the number of vegetarians! Otherwise, disaster befalls the vegetarians. Create a graph to solve this problem. Question: How many possible solutions are there? Consider each solution to be a description of how the four people get across the river. If you create a graph to solve this, you should be able to look at the possible moves and determine how many ways there are to move everybody across. O 5 O 2 O 3 O 1 O Something else
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