Complete the following. (a) Calculate how many numbers between 100 and 699 contain exactly one 1 by subtracting the number that contain no 1's, two 1's, or three 1's from the total. (b) Calculate the answer to part (a) directly by creating a tree diagram and considering whether the first digit is a 1 or not, then the second digit, and then the third. (a) There are numbers between 100 and 699 that contain exactly one 1. (Type a whole number.)
Complete the following. (a) Calculate how many numbers between 100 and 699 contain exactly one 1 by subtracting the number that contain no 1's, two 1's, or three 1's from the total. (b) Calculate the answer to part (a) directly by creating a tree diagram and considering whether the first digit is a 1 or not, then the second digit, and then the third. (a) There are numbers between 100 and 699 that contain exactly one 1. (Type a whole number.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 22T
Related questions
Question
![Complete the following.
(a) Calculate how many numbers between 100 and 699 contain exactly one 1 by subtracting the number that contain no 1's, two 1's, or three 1's from the total.
(b) Calculate the answer to part (a) directly by creating a tree diagram and considering whether the first digit is a 1 or not, then the second digit, and then the third.
(a) There are
numbers between 100 and 699 that contain exactly one 1.
(Type a whole number.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4985d1d3-ab56-4dd0-840d-108315dd0705%2F4c1f7496-609a-4c8a-9706-22dda539854d%2Fyl4l89h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Complete the following.
(a) Calculate how many numbers between 100 and 699 contain exactly one 1 by subtracting the number that contain no 1's, two 1's, or three 1's from the total.
(b) Calculate the answer to part (a) directly by creating a tree diagram and considering whether the first digit is a 1 or not, then the second digit, and then the third.
(a) There are
numbers between 100 and 699 that contain exactly one 1.
(Type a whole number.)
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Algebra and Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
![Algebra and Trigonometry (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
![Algebra: Structure And Method, Book 1](https://www.bartleby.com/isbn_cover_images/9780395977224/9780395977224_smallCoverImage.gif)
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
![College Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning