Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 12 - Counting and Probability - Section 12.1 Counting - 12.1 Assess Your Understanding: 26

Answer

$80,000$ different 5-digit numbers numbers

Work Step by Step

There are 8 selections for first choice ( because 0 and 1 are excluded), and 10 selections each for the second, third, fourth and fifth choices. Using multiplication principle of counting, the number of 5-digit numbers that can be formed with the given restrictions is: $= 8\times10\times10\times10\times10 \\= 80,000$.
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