Concept explainers
The Four 4s Problem The object at this exercise is to create mathematical expressions that use exactly four 4s and that simplify to a counting number from 1 to 20, inclusive. You are allowed to use the following mathematical symbols:
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Chapter 1 Solutions
Mathematical Excursions (MindTap Course List)
- CONCEPTS The Fundamental Counting Principle says that if one event can occur in m ways and a second event can occur in n ways, then the two events can occur in order in ______ ______ ways. So if you have two choices for shoes and three choices for hats, then the number of different shoe-hat combinations you can wear is _____ _____ = _____.arrow_forwardCounting Principles Solve these exercise by using the appropriate counting principle(s). Arranging a Class Picture In hoy many ways can ten students be arranged in a row for a class picture if John and Jane want to stand next to each other and Mike and Molly also insist on standing next to each other?arrow_forwardArranging Books In how many ways can five different mathematics books be placed on a shelf if the two algebra books are to be placed next to each other?arrow_forward
- Fundamental Counting Principle. The exercises involve the Fundamental Counting Principle. Social Security Numbers Social Security number consist of nine digits, with the first digit between 0 and 6, inclusive. How many Social Security numbers are possible?arrow_forwardFundamental Counting Principle. The exercises involve the Fundamental Counting Principle. License Plates Standard automobile license plates in California display a nonzero digit, followed by three letters, followed by three digits. How many different standard plates are possible in this system?arrow_forwardCounting Principles Solve these exercise by using the appropriate counting principle(s). Seating Arrangements In how many ways can four men and four women be seated in a row of eight seats for each of the following arrangements? (a) The women are to be seated together. (b) The men and women are to be seated alternately by gender.arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage