Four people must travel from one side of a bridge to the other. There is one flashlight among them. Anyone who travels across the bridge must use a flashlight. A maximum of two people can travel across the bridge at any particular time. The time it takes for each of the four people to travel over the bridge is 3, 5, 10, and 16 minutes, respectively. Given these conditions, construct a well organized and convincing argument in determining how it can be arranged such that it will take exactly 34 minutes for all four people to travel from one side of the bridge to the other.
Four people must travel from one side of a bridge to the other. There is one flashlight among them. Anyone who travels across the bridge must use a flashlight. A maximum of two people can travel across the bridge at any particular time. The time it takes for each of the four people to travel over the bridge is 3, 5, 10, and 16 minutes, respectively. Given these conditions, construct a well organized and convincing argument in determining how it can be arranged such that it will take exactly 34 minutes for all four people to travel from one side of the bridge to the other.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Four people must travel from one side of a bridge to the other. There is one flashlight among them. Anyone who travels across the bridge must use a flashlight. A maximum of two people can travel across the bridge at any particular time. The time it takes for each of the four people to travel over the bridge is 3, 5, 10, and 16 minutes, respectively. Given these conditions, construct a well organized and convincing argument in determining how it can be arranged such that it will take exactly 34 minutes for all four people to travel from one side of the bridge to the other.
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