   Chapter 14.1, Problem 35E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# APPLICATIONS17-36 ■ Fundamental Counting Principle These exercises involve the Fundamental Counting PrincipleSocial Security Numbers Social Security numbers consists of nine digits, with the first digit between 0 and 6 , inclusive. How many Social Security numbers are possible?

To determine

To state:

The number of Social Security numbers possible.

Explanation

Given:

The social security number consists of 9 digits, with the first digit between 0 and 6, inclusive.

Approach:

By Fundamental Principle of Counting, If two events occur in order and if the first event can occur in m ways and the second can occur can occur in n ways (after the first occurred), then the two events can occur in order in m×n ways.

Calculation:

For the first digit there are seven possible choices, because the first digit is in between 0 and 6, inclusive, digits 7, 8, and 9 are not allowed

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