**Title: Exploring Phone Numbers in the United States**---**Introduction to U.S. Phone Numbers**In the United States, a phone number consists of 10 digits. This is structured with 3 digits for the area code and the remaining 7 digits for the phone number itself. Importantly, neither the area code nor the phone number can begin with the digit 0.---**Practice Problem****Question 8:**Consider a phone number in the United States that comprises 10 digits, with 3 digits dedicated to an area code and 7 digits for the phone number itself. Given that neither the area code nor the phone number may start with the digit 0, calculate the total number of possible phone numbers in the United States.---**Student Information**- Name: _______________________- Date: _______________________- Block: _______________________**Course Details**- Subject: Liberal Arts Math- Chapter: 2- Section: A---**Instructions**Analyze the rules regarding the structure of phone numbers and calculate the possibilities based on the constraints provided. **Mathematics Worksheet – General Arts Math***Chapter 2 – A*---**Name:** ____________________ **Date:** ______________ **Block:** _______---8. A phone number in the United States consists of 10 digits, 3 for an area code and 7 for the phone number. Neither the area code nor the phone number can start with a 0. How many possible phone numbers are there in the United States?

Answered: A phone number in the United States…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

**Title: Exploring Phone Numbers in the United States**

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**Introduction to U.S. Phone Numbers**

In the United States, a phone number consists of 10 digits. This is structured with 3 digits for the area code and the remaining 7 digits for the phone number itself. Importantly, neither the area code nor the phone number can begin with the digit 0.

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**Practice Problem**

**Question 8:**

Consider a phone number in the United States that comprises 10 digits, with 3 digits dedicated to an area code and 7 digits for the phone number itself. Given that neither the area code nor the phone number may start with the digit 0, calculate the total number of possible phone numbers in the United States.

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**Student Information**

- Name: _______________________
- Date: _______________________
- Block: _______________________

**Course Details**

- Subject: Liberal Arts Math
- Chapter: 2
- Section: A

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**Instructions**

Analyze the rules regarding the structure of phone numbers and calculate the possibilities based on the constraints provided.

**Mathematics Worksheet – General Arts Math**

*Chapter 2 – A*

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**Name:** ____________________

**Date:** ______________

**Block:** _______

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8. A phone number in the United States consists of 10 digits, 3 for an area code and 7 for the phone number. Neither the area code nor the phone number can start with a 0. How many possible phone numbers are there in the United States?

Expert Solution

Step 1

Given Data:

The number of digits whole phone number consists of: $10 digits$

The number of digits the area code consists of: $3 digits$

The number of digits main phone number consists of: $7 digits$

As given in the problem, neither the area code nor the phone number can start with a $0$ .

So,

First digit of area code: $9$ ways $(1 - 9)$

Second digit of area code: $10$ ways $(0 - 9)$

Third digit of area code: $10$ ways $(0 - 9)$

First digit of phone number: $9$ ways $(1 - 9)$

Second digit of phone number: $10$ ways $(0 - 9)$

Third digit of phone number: $10$ ways $(0 - 9)$

Four digit of phone number: $10$ ways $(0 - 9)$

Five digit of phone number: $10$ ways $(0 - 9)$

Six digit of phone number: $10$ ways $(0 - 9)$

Seven digit of phone number: $10$ ways $(0 - 9)$

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A phone number in the United States consists of 10 digits, 3 for a area code and 7 for the phone number. The area code nor the phone number can start with a 0. How many possible phone numbers are in the United States?