The following diagram shows the keypad for an automatic teller machine. As you can see, the same sequence of keys represents a variety of different PINs. For instance, 2133, AZDE, and BQ3F are all keyed in exactly the same way.The following diagram shows the keypad for an automatic teller machine. As you can see, the same sequence of keys represents a variety of different PINs. For instance, 2133, AZDE, and BQ3F are all keyed in exactly the same way. b.How many different PINs are represented by the same sequence of keys as 5031? c. How many different numeric sequences on the machine contain no repeated digit?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The following diagram shows the keypad for an automatic teller machine. As you can see, the same sequence of keys represents a variety of different PINs. For instance, 2133, AZDE, and BQ3F are all keyed in exactly the same way.The following diagram shows the keypad for an automatic teller machine. As you can see, the same sequence of keys represents a variety of different PINs. For instance, 2133, AZDE, and BQ3F are all keyed in exactly the same way.

b.How many different PINs are represented by the same sequence of keys as 5031?

c. How many different numeric sequences on the machine contain no repeated digit?

1
3
QZ
АВС
DEF
4
5
GHI
JKL
MNO
7
8
9.
PRS
TUV
WXY
a. How many different PINS are represented by
the same sequence of keys as 2133?
b. How many different PINS are represented by
the same sequence of keys as 5031?
c. How many different numeric sequences on the
machine contain no repeated digit?
Transcribed Image Text:1 3 QZ АВС DEF 4 5 GHI JKL MNO 7 8 9. PRS TUV WXY a. How many different PINS are represented by the same sequence of keys as 2133? b. How many different PINS are represented by the same sequence of keys as 5031? c. How many different numeric sequences on the machine contain no repeated digit?
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