   Chapter 9.3, Problem 5ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
1 views

# (a) How many five-digit integers (integers from 10,000 through 99,999) are divisible by 5? (b) What is the probability that a five-digit integer chosen at random is divisible by 5?

To determine

(a)

To find how many five digit integers (integers from 10,000 through 99,999 ) are divisible by 5.

Explanation

Given information:

5digit integer.

Concept used:

Number is divisible by 5 if unit digit number is 0 and 5.

Calculation:

We have to find the total number of 5 digit integers which are divisible by 5.

A number is said to be divisible by 5 if the ones digit is either 0 or 5.

Case I: Consider that the ones digit is 0_, and the number of ways in which the other four places can be filled is 9×10×10×10=9000, since all the places can take all the ten digits (0 to 9) except the extreme left, as 0 cannot occupy it

To determine

(b)

To find the probability that a five-digit integer chosen at random is divisible by 5.

To determine

(c)

The probability that an integer chosen at random from 1 through 999 has at least one repeated digit.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 