Telephone Numbers In the past, a local telephone number in a country consisted of a sequence of four letters followed by five digits. Three letters were associated with each number from 2 to 9 (just as in the standard telephone layout shown in the figure) so that each telephone number corresponded to a sequence of nine digits. How many different sequences of nine digits were possible? A 7 GHI PRS 2 ABC 5 8 sequences JKL TUV 3 DEF MNO 9 WXY

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section8.6: Counting Principles
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Telephone Numbers In the past, a local telephone number in a country consisted of a sequence of four letters followed by five digits.
Three letters were associated with each number from 2 to 9 (just as in the standard telephone layout shown in the figure) so that each
telephone number corresponded to a sequence of nine digits. How many different sequences of nine digits were possible?
7
GHI
PRS
2
ABC
5
8
sequences
JKL
TUV
3
6
DEF
MNO
9
WXY
@
Transcribed Image Text:Telephone Numbers In the past, a local telephone number in a country consisted of a sequence of four letters followed by five digits. Three letters were associated with each number from 2 to 9 (just as in the standard telephone layout shown in the figure) so that each telephone number corresponded to a sequence of nine digits. How many different sequences of nine digits were possible? 7 GHI PRS 2 ABC 5 8 sequences JKL TUV 3 6 DEF MNO 9 WXY @
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