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

Ch. 9.1 - A sample space of a random process or experiment...Ch. 9.1 - An event in a sample space is .Ch. 9.1 - To compute the probability of an event using the...Ch. 9.1 - Prob. 4TY Ch. 9.1 - Toss two coins 30 times and make a table showing...Ch. 9.1 - In the example of tossing two quarters, what is...Ch. 9.1 - In 3-6 use the sample space given in Example...Ch. 9.1 - In 3-6 use the sample space given in Example...Ch. 9.1 - In 3-6 use the sample space given in Example...Ch. 9.1 - In 3-6 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 - 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. How many positive three-digit integers are...Ch. 9.1 - Suppose A[1],A[2],A[3],....,A[n] is a...Ch. 9.1 - Suppose A[1],A[2],...,A[n] is a one-dimensional...Ch. 9.1 - Suppose A[1], A[2],…A[n] is a one-dimensional...Ch. 9.1 - Prob. 26ES Ch. 9.1 - What is the 62nd element in the one-dimensional...Ch. 9.1 - If the largest of 56 consecutive integers is 279,...Ch. 9.1 - Prob. 29ES Ch. 9.1 - How many even integers are between 1 and 1,.001?Ch. 9.1 - Prob. 31ES Ch. 9.1 - A certain non-leap year has 365 days, and January...Ch. 9.1 - Prove Theorem 9.1.1. (Let m be any integer and...Ch. 9.2 - The multiplication rule says that if an operation...Ch. 9.2 - A permutation of a set of elements is_________.Ch. 9.2 - Prob. 3TY Ch. 9.2 - Prob. 4TY Ch. 9.2 - Prob. 5TY Ch. 9.2 - Prob. 6TY Ch. 9.2 - Prob. 1ES Ch. 9.2 - Prob. 2ES Ch. 9.2 - Prob. 3ES Ch. 9.2 - Prob. 4ES Ch. 9.2 - Prob. 5ES Ch. 9.2 - One urn contains two black balls (Labeled B1 and...Ch. 9.2 - One urn contains one blue ball (labeled B1) and...Ch. 9.2 - A person buying a personal computer system is...Ch. 9.2 - Suppose there are three roads from city A to city...Ch. 9.2 - Suppose there are three routes from North Point to...Ch. 9.2 - (a)A bit string is a finite sequence of 0’s and...Ch. 9.2 - Hexadecimal numbers are made using the sixteen...Ch. 9.2 - A coin is tossed four times. Each time the result...Ch. 9.2 - Suppose that in a certain stale, all automobile...Ch. 9.2 - A combination lock requires three selections of...Ch. 9.2 - a. 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P(n+1,3)=n3n Ch. 9.2 - Prob. 41ES Ch. 9.2 - Prob. 42ES Ch. 9.2 - Prob. 43ES Ch. 9.2 - Prove Theorem 9.2.1 by mathematical induction.Ch. 9.2 - Prove Theorem 9.2.2 by mathematical induction.Ch. 9.2 - Prob. 46ES Ch. 9.2 - Prob. 47ES Ch. 9.3 - The addition rule says that if a finite set A...Ch. 9.3 - Prob. 2TY Ch. 9.3 - Prob. 3TY Ch. 9.3 - Prob. 4TY Ch. 9.3 - Prob. 5TY Ch. 9.3 - (a) How many bit string consist of from one...Ch. 9.3 - (a) How many string of hexadecimal digits consist...Ch. 9.3 - (a) How many integers from 1 through 999 do not...Ch. 9.3 - How many arrangements in a row of no more than...Ch. 9.3 - (a) How many five-digit integers (integers from...Ch. 9.3 - In a certain stale, all license plain consist of...Ch. 9.3 - At a certain company, passwords must be from...Ch. 9.3 - In a certain country license plates consist of...Ch. 9.3 - a. Consider the following algorithm segment: for...Ch. 9.3 - A calculator has an eight-digit display and a...Ch. 9.3 - a. 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Suppose five integers...Ch. 9.4 - (a) If seven integers are chosen from between 1...Ch. 9.4 - If n+1 integers are from the set {1,2,3,...2n}....Ch. 9.4 - If n+1 integers are chosen from the set...Ch. 9.4 - Prob. 12ES Ch. 9.4 - Suppose six pairs of similar-looking boots are...Ch. 9.4 - Prob. 14ES Ch. 9.4 - If n is a positive integer, how many integers from...Ch. 9.4 - How many integer from 1 through 100 must you pick...Ch. 9.4 - Prob. 17ES Ch. 9.4 - How many integers must you pick in order to be...Ch. 9.4 - How many integers from 100 through 999 must you...Ch. 9.4 - Prob. 20ES Ch. 9.4 - When 683/1493 is written as a decimal what is the...Ch. 9.4 - Prob. 22ES Ch. 9.4 - Prob. 23ES Ch. 9.4 - Show that within any set of thirteen integers...Ch. 9.4 - Prob. 25ES Ch. 9.4 - Prob. 26ES Ch. 9.4 - In a group of 2,000 people, must at least 5 have...Ch. 9.4 - A programmer writes 500 lines of computer code in...Ch. 9.4 - A certain collage class has 40 students. 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(a) To find: The error of the given solution to construct a PIN in a four-step process.

Solution Summary: The author explains the process of selecting a PIN by following four steps.