Suggested languages for you:

Americas

Europe

Q26.

Expert-verified
Found in: Page 636

Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903

How many area codes were possible before 1995?

The number of possible area codes before 1995 is 160.

See the step by step solution

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.

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.

Step 3. Conclusion.

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