9. The diagram below shows the keypad for an automatic teller machine. As you can see, the same sequence of keys represents a variety of different strings. For instance, 2133 represents AZDE and BQFD. 1 QZ 4 GHI 7 PRS 2 ABC 5 JKL 8 TUV 0 3 DEF 6 MNO 9 WXY (a) How many different strings are represented by the same sequence of keys for 1234?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The diagram below shows the keypad for an automatic teller machine. As you can see, the same
sequence of keys rep ents a variety of different strings. For instance, 2133 represents AZDE and BQFD.
9.
1
QZ
4
GHI
7
PRS
2
ABC
5
JKL
8
TUV
0
3
DEF
6
MNO
9
WXY
(a) How many different strings are represented by the same sequence of keys for 1234?
Transcribed Image Text:The diagram below shows the keypad for an automatic teller machine. As you can see, the same sequence of keys rep ents a variety of different strings. For instance, 2133 represents AZDE and BQFD. 9. 1 QZ 4 GHI 7 PRS 2 ABC 5 JKL 8 TUV 0 3 DEF 6 MNO 9 WXY (a) How many different strings are represented by the same sequence of keys for 1234?
(b) At a particular bank, each debit card is assigned a PIN. This is a four-digit numeric sequence that
does not contain a 1 or a 0. How many possible PINs are there?
(c) How many different strings are represented by all of the available PINS?
(assume a PIN is 4 digits and does not include a 1 or a 0)
Transcribed Image Text:(b) At a particular bank, each debit card is assigned a PIN. This is a four-digit numeric sequence that does not contain a 1 or a 0. How many possible PINs are there? (c) How many different strings are represented by all of the available PINS? (assume a PIN is 4 digits and does not include a 1 or a 0)
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