Finite Math and Applied Calculus (6th Edition)

Published by Brooks Cole
ISBN 10: 1133607705
ISBN 13: 978-1-13360-770-0

Chapter 6 - Section 6.3 - Decision Algorithms: The Addition and Multiplication Principles - Exercises - Page 426: 47a

Answer

$17,576,000$ such license plates are possible.

Work Step by Step

There are 10 digits and 26 letters. A license plate displays a sequence of three letters followed by three digits Therefore the total number of license plates is $26*26*26*10*10*10=26^3*10^3=17,576,000$
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