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Question
An Automobile Company required to analyze expense claims.Hence,it studied the major cities that its employees travelled to the most:Edmonton,Calgary,and Vancouver.The employees either travelled by plane or private car and accounted for either their meals or the cost of transportation within each city.Draw a tree diagram to represent the different combinations within this study.
Thanks!
Andrea~
)
What I have been making for you are tree diagrams, so start a branch with major cities and make branches for Edmonton, Calgary, and Vancouver. From each city draw 2 branches and label them car or plane. Then from each car or plane draw two more branches and label them alternately meals and transportation, meals and transportation, until all are labeled. You will see that there are 12 ways total to choose the various scenarios. Think about it, you start with 3 destinations so that is 3C1 = 3 and then there are two choices for each destination so that is 2C1 = 2, and finally for each of those choices transportation methods there are 2C1 = 2 ways to account for your meals or transportation, so another 2C1 = 2 and since this is the multiplication principal you have 3C1*2C1*2C1 = 3*2*2 = 12 ways to select from.
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Advanced Math
Answers by Expert:
Sherry Wallin
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I can answer most questions up through Calculus and some in Number Theory and Abstract Algebra.
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I have had my Bachelor's Degree since 1987 and have been a teacher since 1988. I earned my Masters Degree in Mathematics May 2010. I have been teaching at the same community college since 2002.
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I have taught 12 years at the community college level, medical college, and technical college as well as a high school instructor and alternative education instructor and charter school instructor.
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