Concept explainers
Counting Three-digit Numbers If only the digits 0, 1, 2, 3, 4, 5, and 6 may be used, find the number of possibilities in each category.
three-digit numbers
To calculate: The number of possible 3-digit numbers if Digits to be used are 0,1,2,3,4,5,6.
Answer to Problem 1T
Solution:
The number of possible 3-digit numbers is 294.
Explanation of Solution
Given:
Digits to be used are 0,1,2,3,4,5,6.
Calculation:
As a total of 7 digits are provided to find the number of 3-digit numbers by using the provided digits.
So, out of these 7 digits, the number of digits that can be placed at unit’s place is 6, that is,
And, all the 7 digits can be placed at tens and hundreds place.
So, number of 3-digit number possible are multiplication of number of digits available to place in unit’s place, number of digits available to tens place and number of digits available to hundreds place.
So, total number of way is;
Want to see more full solutions like this?
Chapter 10 Solutions
EBK MATHEMATICAL IDEAS
- 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_forwardChoosing a Committee In how many ways can a committee of four be chosen from a group of ten if Barry and Harry refuse to serve together on the same committee?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_forward
- Counting Principles Solve these exercise by using the appropriate counting principle(s). Choosing a Group Sixteen boys and nine girls go on a camping trip. In how many ways can a group of six be selected to gather firewood, given the following conditions? (a) The group consists of two girls and four boys. (b) The group contains at least two girls.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 LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL