a) How many different trains can be built with a length of 10 units?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
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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a) How many different trains can be built with a length of 10 units? Two trains are different if we use
different rods to build them or if we use the same rods but place them in different order. For example, we can
build four different trains with a length of 3 units (light green, red-white, white-red, and white-white-white).
You do not need to actually draw all the different trains with a length of 10 units.
b) Determine the equation that models the relationship between the length and the number of different
possible trains.
CO
Transcribed Image Text:a) How many different trains can be built with a length of 10 units? Two trains are different if we use different rods to build them or if we use the same rods but place them in different order. For example, we can build four different trains with a length of 3 units (light green, red-white, white-red, and white-white-white). You do not need to actually draw all the different trains with a length of 10 units. b) Determine the equation that models the relationship between the length and the number of different possible trains. CO
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