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: 48b

Answer

$54,756,000$

Work Step by Step

There are 10 different digits and 26 letters. (1) A digit from 1 to 9 gives 9 different possibilities (2) A letter: 26 possibilities (3) A dot: one possibility (4) A letter: 26 possibilities (5) A four digit number not ending with 0: The first 3 digits can be one of 10 digits, the fourth can only be one of 9 digits (it can not be 0) This gives $10^3*9$ possibilities Ovarall the number of different license plates is $9*26*1*26*10^3*9=54,756,000$
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