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: 47c

Answer

$15,545,000$

Work Step by Step

There are 10 different digits and 26 letters. The first two letters can be any of the 26 letters. The last letter can only be one of 23 letters (Because it can not be I,O or Q) This gives a total of $26*26*23=15,548$ combinations only for the letters. Of these, VET,MDZ and DPZ are reserved, so there are $15,548-3=15,545$ other combinations. The three digits can be one of 10 digits. This gives a total of $15,545*10*10*10=15,545,000$
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