These are counting problems. If you use a tree diagram, that is sufficient explanation by itself. However, for othermethods of counting you will need to give some explanation to justify your answer.9. A student is taking a 12-question multiple choice test. Each question has 5 choices. How many wayscan the student fill out the answer sheet so there is at least one place where two consecutive answersare the same?

Total possible ways the student can fill the answer sheet 512 , because he has 5 options in the 12…

Answered: A student is taking a 12-question…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter7: Percents

Section7.4: The Percent Equation

Problem 19E

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Explain why “the sum of xand y” is the same as “the sum of yand x,” but “the difference of xand y” is not the same as “the difference of yand x.” Try substituting two random numbers for x and yto help you explain.
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A student is taking a 12-question multiple choice test. Each question has 5 choices. How many ways can the student fill out the answer sheet so there is at least one place where two consecutive answers are the same?