Concept explainers
a.
To find: How many three-digit numbers are possible under each condition.
a.

Answer to Problem 23E
Number of three-digit numbers formed under given condition
Explanation of Solution
Given information:
The leading digit cannot be Zero.
If there are no restrictions, there are 10 possibilities for each digit of a three-digit number.
As the leading digit cannot be zero so there are only 9 possibilities for first -digit of a three-digit number and there are 10 possibilities for remaining two digits of a three-digit number.
Therefore,
Number of three-digit numbers formed under given condition
b.
To find: How many three-digit numbers are possible under each condition.
b.

Answer to Problem 23E
Number of three-digit numbers formed under given condition
Explanation of Solution
Given information:
The leading digit cannot be Zero and no repetition is allowed.
If there are no restrictions, there are 10 possibilities for each digit of a three-digit number.
As the leading digit cannot be zero so there are only 9 possibilities for first -digit of a three-digit number and there are 9 possibilities for second digit of a three-digit number because as there no repetition is allowed as out of 10 possibilities one number is already used for first digit so there will be only 9 Possibilities for second digit of three-digit number.
There are 8 possibilities for third digit of a three-digit number because as there is no repetition is allowed as out of 10 possibilities one number is already used for first digit and another number is used for second digit so there will be only 8 Possibilities for third digit of three-digit number.
Therefore,
Number of three-digit numbers formed under given condition
c.
To find: How many three-digit numbers are possible under each condition.
c.

Answer to Problem 23E
Number of three-digit numbers formed under given condition
Explanation of Solution
Given information:
The leading digit cannot be Zero and number must be multiple of 5.
If there are no restrictions, there are 10 possibilities for each digit of a three-digit number.
As the leading digit cannot be zero so there are only 9 possibilities for first -digit of a three-digit number and there are 9 possibilities.
For a number to be Multiple of five, it’s last digit must be either 0 or 5.
So, number of possibilities for last digit of three-digit number is 2.
Number of Possibilities for second digit of a three-digit number is 10 as we can use any of the available possibilities.
Therefore,
Number of three-digit numbers formed under given condition
d.
To find: How many three-digit numbers are possible under each condition.
d.

Answer to Problem 23E
Number of three-digit numbers formed under given condition
Explanation of Solution
Given information:
The number is at least 400.
If there are no restrictions, there are 10 possibilities for each digit of a three-digit number.
If the number is at least 400, the first digit can only be
There are no restrictions for remaining digits.
So, number of possibilities for first digit are 6.
Number of Possibilities for second digit and third digit of a three-digit number is 10 as we can use any of the available possibilities.
Therefore,
Number of three-digit numbers formed under given condition
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
- On from the equation: 2 u = C₁ + C₂ Y + Czy + Cu y³ Find C₁, C₂, C3 and Cy Using these following Cases : (a) 4=0 at y=0 (b) U = U∞ at y = 8 du (c) at Y = S ду --y. ди = 0 at y = 0 бугarrow_forwardTips S ps L 50. lim x2 - 4 x-2x+2 51. lim 22 - X 52. 53. x 0 Answer lim x 0 lim 2-5 X 2x2 2 x² Answer -> 54. lim T - 3x - - 25 +5 b+1 b3b+3 55. lim X x-1 x 1 Answer 56. lim x+2 x 2 x 2 57. lim x²-x-6 x-2 x²+x-2 Answer-> 23-8 58. lim 2-22-2arrow_forwardS 36. lim 5x+2 x-2 37. lim √√2x4 + x² x-3 Answer-> 2x3 +4 38. lim x12 √ x² + 1 √√x² + 8 39. lim x-1 2x+4 Answer 40. lim x3 2x x√x² + 7 √√2x+3arrow_forward
- i don't understand how to get these answers please help!arrow_forwardEnter your answer in interval notation. No decimal entries allowed. Type oo (lower case o) for ∞ and -oo for -∞ if needed. Domain: Question Help: Message instructorarrow_forwardWrite a formula for the function g that results when the graph of the function f(x) = = 4 X is reflected about the y-axis, horizontally compressed by a factor of 2, shifted 7 units left, reflected about the x-axis and shifted 3 units up. g(x): = Question Help: Message instructorarrow_forward
- Question 7 4 pts 1 Details The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x) = 1.8208e0.3387x, where x = 0 corresponds to 1998. In what year did/will the exports reach $10.4 billion?arrow_forwardQuestion 7 4 pts 1 Detai The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x) = 1.8208e 0.3387x, where x = 0 corresponds to 1998. In what year did/will the exports reach $10.4 billion?arrow_forwardWrite a formula for the function g that results when the graph of the function f(x) = = 4 X is reflected about the y-axis, horizontally compressed by a factor of 2, shifted 7 units left, reflected about the x-axis and shifted 3 units up. g(x) = Question Help: Message instructorarrow_forward
- 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





