Concept explainers
Exercises 37-44 can be solved using combinations even though the problem statements will not always include the word "combination" or "subset."
Arranging New Home Models Tyler (the contractor) is to build six homes on a block in a new subdivision, using two different models: standard and deluxe. (All standard model homes are the same, and all deluxe model homes are the same.)
(a) How many different choices does Tyler have in positioning the six houses if he decides to build three standard and three deluxe models?
(b) If Tyler builds two deluxes and four standards, how many different positionings can he use?
Want to see the full answer?
Check out a sample textbook solutionChapter 10 Solutions
Mathematical Ideas (13th Edition) - Standalone book
Additional Math Textbook Solutions
Finite Mathematics (11th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
Thinking Mathematically (7th Edition)
Calculus Volume 2
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
- A commuter must travel from Ajax to Barrie and back every day. Four roads join the two cities. The commuter likes to vary the trip as much as posible, so she alwaysleaves and returns by different roads. In how many different ways can she make the round-trip?arrow_forwardA florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums. Each small arrangement contains one rose, three daisies, and three chrysanthemums. Each medium arrangement contains two roses, four daisies, and six chrysanthemums. Each large arrangement contains four roses, eight daisies, and six chrysanthemums. One day, the florist noted that she used a total of 24 roses, 50 daisies, and 48 chrysanthemums in filling orders for these three types of arrangements. How many arrangements of each type did she make?arrow_forwardAlice and Bill have four grandchildren, and they have three framed pictures of each grandchild. They wish to choose one picture of each grandchild to display on the piano in their living room, arranged from oldest to youngest. In how many ways can they do this?arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningAlgebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellIntermediate AlgebraAlgebraISBN:9781285195728Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage Learning