A witness to a hit-and-run accident told the police that the license number contained the letters RZH followed by a letter and 3 digits, the first of which is a 7. If the witness cannot recall the last 4th letter and the last 2 digits, but he is certain that all 3 digits are different, find the maximum number of automobile registrations that the police may have to check.

Q: Find the two positive integers whose sum is 16 and the sum of whose square is minimum

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Q: If five times the fifth term of an AP is equal to 8 times its eighth term, show that its 13th term…

A:

Q: A witness to a hit- and -run accident told the police that the license number contained the letters…

A: The question is about counting theory Given : The license no. contains letter "MTS " followed by 3…

Q: A witness to a hit-and-run accident told the police that the license number contained the letters…

A: Given,all 3 digits are different and it starts with 4and all possible two digits =…

Q: Find two nonnegative numbers whose sum is 9 and so that the product of one number and the square of…

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Q: The product of two positive integers is 30, and their sum is 17. What are the integers?

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Q: The bus has left seats and right seats with the maximum seating capacity of 48 persons. If the right…

A: Maximum seating capacity = 48 Number of right seats of the bus = 23 Number of left seats of the bus…

Q: To get into the 250 Club, a bowler must score an average of 250 for a three-game series. If a bowler…

A: Average score is 250 for a three game series.

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: There are 26 letters and 10 digits. The first letter is A. So 1 choice for the first letter. For the…

Q: The middle digit of a number between 100 and 1000 is zero and the sum of the other digit is 13. If…

A: Number between 100 and 1000 is three digit number. Consider the first digit be x, middle digit be y…

Q: A witness on a hit and run incident cannot recall the whole plate number of the car who hit an old…

A: Given that in hit and run case an old woman remembered is the plate number starts with TIP and the…

Q: If​ Andrew's batting average is exactly 0.300 going into the​ series, and that value is based on…

A: Given Data- We have give the Andrew's batting average is exactly 0.300. And the average value is…

Q: Verify that for any three consecutive integers, the sum of the smallest and largest is equal to…

A: Given: Three consecutive integers.

Q: A witness to a hit-and-run accident immediately reported to the police, although he could no longer…

A: Given that a license plate contained three letters, and the second letter was anything after T. The…

Q: In the United States, telephone numbers consist of a three-digit area code followed by a seven-digit…

A: Given problem Given that   In the United States, telephone numbers consist of a three-digit area…

Q: A witness to a hit-and-run accident told the police that the license plate number contained the…

A: Given data: plate number contained the letters BDD followed by 4 digits, the first of which was a 4…

Q: Find a counterexample to show that each statement is false. 6) The sum of any three odd numbers is…

A: 6) Given the sum of any three odd numbers is even Consider the three odd numbers are 3,5,9 Then…

Q: witness to a hit-and-run accident told police that the license number contained 3 letters, of which…

A: Given witness to a hit-and-run accident told police that the license number contained 3 letters, of…

Q: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $528/person/day if…

A: Given the owner of a luxury yacht charges $528 per person per day if exactly 20 people sign up for…

Q: The number of 3-digit numbers less than 400 that can be created if the last digit is either 4 or 5…

A: Solution  :

Q: The maximum number of marks attainable at a mathematics competition is 60. Kate obtains 40 marks,…

A: Given In a mathematics competition Total marks=60 Kate got  = 40 Priya got  = 46 Nora got marks = 49

Q: witness to a hit-and-run accident told the police that the license number contained the letters RQLH…

A: Answer:72 Explanation: First digit=2 No.of digits=10 ie, (0,1,2,3,4,5,6,7,8,9) Now possibilities…

Q: A witness to a hit-and-run accident told the police that the license number contained the letters…

A: The license number contains the letter RLH followed by 3 digits, the first of which is 5  can be…

Q: Find a three-digit positive integer such that the sum of all three digits is 14, the tens digit is…

A:

Q: A man has a change of $4.55 compose entirely of dime and quarters. What are the maximum and minimum…

A: Detailed explanation mentioned below

Q: A pre-paid cell phone company charges $14.95 as a monthly access fee and $0.08 per minute of calling…

A: Topic :-  function

Q: A witness to a hit-and-run accident told the police that the license number contained the letters RQ…

A: Given that there License number contained the letter RQ Followed by 5 digits and first three digits…

Q: If the mean of 5 positive integers is 15, what is the maximum possible difference between the…

A:

Q: After a lady is seated in a restaurant, she realises that she only has $32.00. If she must pay 7%…

A: In this question we have to find the maximum price of the lunch she can order when she only has…

Q: (a) The service elevator at AR Hector Financial Complex has a maximum capacity of 2870 lbs. If the…

A: Hey, since there are multiple subparts posted, we will answer first question. If you want any…

Q: In the first semester of B.Tech, a student is expected to take 66 subjects. The grades for each…

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Q: A company that produces sneakers has a fixed monthly cost of $3600. If each sneaker costs $6 and the…

A: Break even point is the point where company's revenues equals to its cost, we can denote it as…

Q: A witness to a hit and run accident told the police that the license number contained the letters…

A: number of digits  = (0,1,2,3,4,5,6,7,8,9)  total number of digits = 10 Out of 10 digits we know the…

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: From the given information, There are 26 letters in total in which we have to select three letters…

Q: If exactly 400 people sign up for a charter flight, Leisure World Travel Agency charges $700 per…

A:

Q: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $392/person/day if…

A: Given data: The fare for 20 people is $392/person/day. Price reduced for each passenger is c=$4.

Q: 4. A traffic accident witness said that the license plate number contains the letters RLH, followed…

A: Given,The license plate number contains the lettersRLH , follwed by 3 digits and the 1st digit being…

Q: witness to a hit-and-run accident told the police that the license number contained the letters RLH…

A:

Q: Find two integers whose sum is 140 and whose product is as large as possible.

A: Topic=Algebra Two integers are 70 and 70.

Q: The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $328/person/day if…

A: Let the number of additional passengers be x. Cost per passenger = 328- 4x  Revenue (R) = (20 +x)…

Q: The number with 2021 digits is given.if we take any two consecutive digits without changing the…

A: All possible two digits which are multiples of 17 and 23 are:  17 23 34 46 51 68 69…

Q: The sum of an integer and 4 less than that integer is even.

A:

Q: A combination lock of a treasure chest has 10 digits in it. If this lock can be opened using 3…

A: Given that the lock has 3 digits in it.  And each digit can take value in 10 ways. [any number in…

Q: If the sum of the digits is divisible by 2, then the number is divisible by 2. true or false

A: If the sum of the digits is divisible by 2, then the number is divisible by 2.

Q: A witness to a hit-and-run accident told the police that the license number contained the letters…

A: There are total 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The first digit is given as 5. For…

Q: Are there number whose square are smaller than the number itself? Is there a real number whose…

A: 1) yes there is a number whose square are smaller than the number. Take 12=0.5 Square of 1/2 is…

Q: Once a computer worm infects a personal computer via an infected e-mail message, it sends a copy to…

A: If the first computer can infect x  computers, then each of these x computers can infect x…

Q: At all trials and hearings, a court reporter types every word spoken during the proceedings so that…

A: Minimum typing rate is 3.75 words per second. Script contains 25 pages with an average of 675 words…

Q: Are there numbers whose squares are smaller than the numbers themselves

A: To find number such that x2 < x.

Q: A service elevator at AR Hector Financial Complex has a minimum capacity of 2870 lbs. If the…

A: The following data is given. Maximum Capacity of the elevator = 2870 lbs. Weight of the elevator =…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.