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How Many Different Channels Are Needed for Six Television Stations

question 61

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How many different channels are needed for six television stations (A, B, C, D, E, F ) whose distances (in miles) from each other are shown in the following table? Assume that two stations cannot use the same channel when they are within 150 miles of each other? ABCDEFA8517510050100B85125175100130C175125100200250D100175100210220E50100200210100F100130250220100\begin{array} { c c c c c c c } & A & B & C & D & E & F \\A & - & 85 & 175 & 100 & 50 & 100 \\B & 85 & - & 125 & 175 & 100 & 130 \\C & 175 & 125 & - & 100 & 200 & 250 \\D & 100 & 175 & 100 & - & 210 & 220 \\E & 50 & 100 & 200 & 210 & - & 100 \\F & 100 & 130 & 250 & 220 & 100 & -\end{array}


Definitions:

Trait Theorists

Psychologists who study human personality focusing on identifying and measuring characteristic patterns of behavior.

Variability

The extent to which data points in a statistical or data set differ from each other and from the average.

Biopsychosocial Organisms

are entities that demonstrate how biological, psychological, and social factors combine and interact to influence an individual's health and behavior.

Levels of Analysis

A framework used in various fields to examine issues from different standpoints, such as individual, group, or societal.

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