Concept explainers
(a)
To find: The number of four digit number formed.
(a)
Answer to Problem 24E
The number of ways to choose the number is
Explanation of Solution
Given:
The given information is that the leading number is not zero.
Calculation:
The choices for the leading digit is other than zero, thus the total number of choice is 9 and for the other digits there are no restriction. Therefore the total number of choice for each digit is
(b)
To find: The number of four digit number formed.
(b)
Answer to Problem 24E
The number of ways to choose the number is
Explanation of Solution
Given:
The given information is that the leading number is not zero and no repetition is allowed.
Calculation:
The leading number is not zero, then the number of choice is
The second number must not be repetition of the first therefor the number of choices is
The third number must not be repetition of the first and second number therefore the number of choices is
The fourth number must not be repetition of the first second and third number therefore the number of choices is
Thus, the number choices in which the four digit number is made is,
(c)
To find: The number of four digit number formed.
(c)
Answer to Problem 24E
The number of ways to choose the number is
Explanation of Solution
Given:
The given information is that the leading number is not zero and the number must be less than 500.
Calculation:
The leading number is not zero, then the number must be less than
There are no restriction on rest of the digits then the choice for each of the remaining digit is,
Thus, the number choices in which the four digit number is made is,
(d)
To find: The number of four digit number formed.
(d)
Answer to Problem 24E
The number of ways to choose the number is
Explanation of Solution
Given:
The given information is that the leading number is not zero and the number is even.
Calculation:
The leading number is not zero, then the number of choice is
There are no restriction on the second and the thirdnumbertherefore the choices for each of the number is
The fourth number must be even therefore the number of choices is
Thus, the number choices in which the four digit number is made is,
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning