10. Multiplication Rule for Counting A sales representative must visit four cities: Omaha, Dallas, Wichita, and Oklahoma City. There are direct air con- nections between each of the cities. Use the multiplication rule of counting to determine the number of different choices the sales representative has for the order in which to visit the cities. How is this problem similar to Problem 9?

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Please answer number 10. Make sure to be correct and show work. Thank you!
9. Multiplication Rule for Counting Four wires (red, green, blue, and yellow)
need to be attached to a circuit board. A robotic device will attach the wires.
The wires can be attached in any order, and the production manager wishes to
determine which order would be fastest for the robot to use. Use the multi-
plication rule of counting to determine the number of possible sequences of
assembly that must be tested. Hint: There are four choices for the first wire,
three for the second, two for the third, and only one for the fourth.
Transcribed Image Text:9. Multiplication Rule for Counting Four wires (red, green, blue, and yellow) need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multi- plication rule of counting to determine the number of possible sequences of assembly that must be tested. Hint: There are four choices for the first wire, three for the second, two for the third, and only one for the fourth.
10. Multiplication Rule for Counting A sales representative must visit four
cities: Omaha, Dallas, Wichita, and Oklahoma City. There are direct air con-
nections between each of the cities. Use the multiplication rule of counting to
determine the number of different choices the sales representative has for the
order in which to visit the cities. How is this problem similar to Problem 9?
11. Counting: Agriculture Barbara is a research biologist for Green Carpet
Lawns. She is studying the effects of fertilizer type, temperature at time of
application, and water treatment after application. She has four fertilizer
types, three temperature zones, and three water treatments to test. Determine
the number of different lawn plots she needs in order to test each fertilizer
type, temperature range, and water treatment configuration.
Transcribed Image Text:10. Multiplication Rule for Counting A sales representative must visit four cities: Omaha, Dallas, Wichita, and Oklahoma City. There are direct air con- nections between each of the cities. Use the multiplication rule of counting to determine the number of different choices the sales representative has for the order in which to visit the cities. How is this problem similar to Problem 9? 11. Counting: Agriculture Barbara is a research biologist for Green Carpet Lawns. She is studying the effects of fertilizer type, temperature at time of application, and water treatment after application. She has four fertilizer types, three temperature zones, and three water treatments to test. Determine the number of different lawn plots she needs in order to test each fertilizer type, temperature range, and water treatment configuration.
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