Concept explainers
In Exercises 45-72, use permutations, combinations, the fundamental counting principle, or other counting methods, as appropriate.
Building Numbers from Sets of Digits Recall that the counting numbers are
1, 2, 3, 4, ….
(a) How many six-digit counting numbers use all six digits 4, 5, 6, 7, 8, and 9?
(b) Suppose all these numbers were arranged in increasing order:
456,789; 456,798; and soon.
Which number would be 364th in the list?
Want to see the full answer?
Check out a sample textbook solutionChapter 10 Solutions
Mathematical Ideas (13th Edition) - Standalone book
Additional Math Textbook Solutions
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Calculus Volume 2
Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
Math in Our World
Mathematics for the Trades: A Guided Approach (11th Edition) (What's New in Trade Math)
Basic College Mathematics (12th Edition)
- a What does the Fundamental Counting Principle say? b Suppose that there are three roads from town A to town B and five roads from town B to town C. How many routes are there from A to C via B?arrow_forwardIn horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in the exact order (1 St place, 2nd place, and 3rd place). How many different trifectas are possible if there are 14 horses in a race?arrow_forwardIn three-card poker, a hand consists of three cards dealt from a deck of 52. How many different three-card poker hands are possible? (Order is not important.)arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning