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Chapter 12: Q26. (page 636)

How many area codes were possible before 1995?

Short Answer

Expert verified

The number of possible area codes before 1995 is160.

Step by step solution

01

Step 1. Given Information.

Given that before 1995, area codes had the format (XYZ)

where X = 2,3, …, or 9

Y = 0 or 1

Z = 0, 1, 2, …, or 9

It is to be determined how many area codes were possible before 1995.

02

Step 2. Calculation.

For X there are 8 ways to be selected.

For Y there are 2 ways to be selected.

For Z there are 10 ways to be selected.

By the Fundamental Counting Principle, there are 8×2×10=160 different ways to select the 3-digit area code.

03

Step 3. Conclusion.

Hence, the number of possible area codes before 1995 is 160.

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