Explanation Given information: There are four digits in the PIN. The PIN does not startwith any letter between A − M and the last symbol should be a number without any repeated symbols. A process to select a PIN is given by following four steps. Step 1 : Choose the left-most symbol. Step 2 : Choose the second symbol from the left. Step 3 : Choose the third symbol from the left. Step 4 : Choose the right-most symbol. By following the above four steps, There are 36 − 13 = 23 ways to choose the first symbol without any letter between A − M . Without first chosen symbol, there are 35 ways to select the second symbol. Then the third symbol can be chosen in 34 ways. Because the last symbol must be a number, the fourth step can be performed in 10 − 3 = 7 ways. Therefore, by the multiplication rule, there are 23 × 35 × 34 × 7 = 191 , 590 different ways to choose a PIN To determine (b) To find: The number of PINs that satisfy the conditions by following the process given.

5th Edition

ISBN: 9781337694193

Author: EPP, Susanna S.

Publisher: Cengage Learning,

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Chapter 9.2, Problem 20ES

To determine

(a)

To find:

The error of the given solution to construct a PIN in a four-step process.

To determine

(b)

To find:

The number of PINs that satisfy the conditions by following the process given.

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Chapter 9.2, Problem 19ES

Chapter 9.2, Problem 21ES

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Chapter 9 Solutions

Discrete Mathematics With Applications

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Ch. 9.1 - In 7-10, use the sample space given in Example...Ch. 9.1 - In 7-10, use the sample space given in Example...Ch. 9.1 - In 7-10, use the sample space given in Example...Ch. 9.1 - In 7-10, use the sample space given in Example...Ch. 9.1 - Suppose that a coin is tossed three times and the...Ch. 9.1 - Suppose that each child born is equally likely to...Ch. 9.1 - Suppose that on a true/false exam you have no idea...Ch. 9.1 - There people have been exposed to a certain...Ch. 9.1 - Prob. 15ES Ch. 9.1 - Two faces of a six-sided die are painted red, two...Ch. 9.1 - Prob. 17ES Ch. 9.1 - Prob. 18ES Ch. 9.1 - An urn contains two blue balls (denoted B1 and B2)...Ch. 9.1 - Relet to Example 9.1.3. Suppose you are appealing...Ch. 9.1 - Prob. 21ES Ch. 9.1 - a. 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(a) To find: The error of the given solution to construct a PIN in a four-step process.

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