79.10Suppose each license plate in a certain state has two digits, followed by two letters, followed by two digits. The letters Q and U are not used. So, there are 24letters and 10 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format?| license platesContinueSubmit AssignmentO 2022 McGraw Hill LLC. AIl Rights Reserved. Terms of Use | Privacy Center | Accessibility16tvMacBook AirescDIIF2F3F4FSF6F7FBF10F11va@#324&245781WTY00

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Answered: 7 9. 10 Suppose each license plate in a…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 36SE: The number of 5-element subsets from a set containing n elements is equal to the number of 6-element...

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The number of 5-element subsets from a set containing n elements is equal to the number of 6-element subsets from the same set. What is the value of n? (Hint: the order in which the elements for the subsets are chosen is not important.)
On February 20, 2004, the Ohio Bureau of Motor Vehiclesunveiled the state’s new license plate format. The plateconsists of three letters (A–Z) followed by 4 digits (0–9).Assume that all letters and digits may be used, except thatthe third letter cannot be O, I, or Z. If repetitions are allowed,how many different plates are possible?
A security keypad uses five digits (0 to 9) in a specific order. How many different keypad patterns are possible if the first three digits must be even and the last digit cannot be zero?
5. suppose that a local area network requires eight letters for user names. lower and upper-case letters are considered the same. how many user names are possible for the local area network?
A graduate class has 13students with A grades and 12 students with B grades. Calculate the number of ways in which 6 A students and 6 B students can be uniquely selected. There are ----- different ways to select the students. (Type a whole number.)
Standard license plates for passenger vehicles in California are of the form NMLMXXX where N is any digit except 0, X is any digit, L is any uppercase letter and M is any uppercase letter except I, O and Q. What is the minimal number of California licensed vehicles that need to be parked in a parking structure to guarantee that there are ten vehicles with the same first digit, last digit and the first letter in their license plate number? Assuming that all combinations of letters are allowed, what is the minimal number of vehicles in the structure that guarantees that at least ten have the license plate number beginning with 1, ending with 6 and having the first letter P?
2.How many license plates consisting of 6 digits (0 to 9) have their digits in nondecreasing order?
The vast majority of Visa and Discover Card credit cards have 16-digit card numbers. The first digit is either 4 (Visa) or 6 (Discover), digits 2 through 6 identify the issuer, digits 7 through 15 identify the customer, and the last digit is a "check digit" determined by the digits that precede it.† Your company, CreditXplosion, Inc., issues both Visa and Discover credit cards. How many different CreditXplosion Discover card numbers are possible in which the check digit is wrong?
How many possible iPhone lock combinations are there between all 6-digit and 4-digit pass codescombined?
Assume a country has 3-digit area codes that all have 0 or 1 as the middle digit, do not have 0 or 1 as the first digit, and do not have 2 as the third digit. How many area codes are possible?
A computer system allows user IDs that are six characters long. If only alphanumeric characters are allowed ( either an upper case letter in the standard english alphabet, lower case letter, or a digit), A. How many user IDs are possible, if repitition is allowed? B. How many user IDs are possible, if no repitition is allowed?
Suppose that a password for a locked door must have at least 8 characters, where each character in the password can be a lowercase English letter, an uppercase English letter, or a digit. Now imagine that a hacker is watching a user insert The password, and based on the time it took to insert the password, it cannot have been more than 11 characters long. Now,1. How many passwords can there be for this locked door?2. If the hacker can try a million (106) permutations at the locked doorevery second, how long will it take the hacker to try all the possiblepasswords?

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