   Chapter 9.3, Problem 16ES ### 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. If any seven digits could be used to form a telephone number, how many seven-digit telephone numbers would not have any repeated digits’? b. How many seven-digit telephone numbers would have at least one repeated digit? c. What is the probability that a randomly chosen seven-digit telephone number would have at least one repeated digit’?

To determine

(a)

To find seven-digit telephone numbers would not have any repeated digits if any seven digits could be used to form a telephone number.

Explanation

Given information:

Calculate the number of 7 digit telephone numbers without any repeated digits.

Concept used:

The possibilities for the number of 7 digit telephone numbers without any repeated digits can be calculated as P(n,r).

Calculation:

Calculate the number of 7 -digit telephone numbers without any repeated digits. The total telephone number is 10 -digits

To determine

(b)

To find how many seven-digit telephone numbers would have at least one repeated digits.

To determine

(c)

To calculate the probability that the number of 7 -digit telephone numbers with at least one repeated digit.

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