How many 3-digit numbers are there that are divisible either by 5. 7 or 9? <

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Please provide a correct answer with a full explanation by yourself. Don't copy. Thank you.

**Problem Statement:**

How many 3-digit numbers are there that are divisible either by 5, 7, or 9?

---

This problem involves finding the count of all three-digit numbers that are divisible by specific divisors: 5, 7, and 9. A 3-digit number ranges from 100 to 999. To solve the problem, one might consider using the principle of inclusion-exclusion to account for overlaps in divisibility by multiple numbers.
Transcribed Image Text:**Problem Statement:** How many 3-digit numbers are there that are divisible either by 5, 7, or 9? --- This problem involves finding the count of all three-digit numbers that are divisible by specific divisors: 5, 7, and 9. A 3-digit number ranges from 100 to 999. To solve the problem, one might consider using the principle of inclusion-exclusion to account for overlaps in divisibility by multiple numbers.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,