Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 4 - Probability - 4-6 Counting - Beyond the Basics: 37

Answer

$2,095,681,645,538$

Work Step by Step

By using the fundamental counting rule we can get the number of possibilities: 1 character: $26$. 2 characters: $26\times36=936$. 3 characters: $26\times36\times36=33,936$. 4 characters: $26\times36^{3}=1,213,056$. 5 characters: $26\times36^{4}=43,670,016$. 6 characters: $26\times36^{5}=1,572,120,576$. 7 characters: $26\times36^{6}=5,659,634,0736$. 8 characters: $26\times36^{7}=2,037,468,266,496$ Total:$2,095,681,645,538$.
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